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Finding the Fourth Proportional to 10,485.97, 15,728.95 and 7,189.07

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Solution

The fourth proportional to 10,485.97, 15,728.95 and 7,189.07 is: 10,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.97 : 15,728.95 = 7,189.07 : x
  2. Step 2: Convert to fraction form
    10,485.97/15,728.95 = 7,189.07/x
  3. Step 3: Cross multiply
    10,485.97x = 15,728.95 × 7,189.07
  4. Step 4: Simplify right side
    10,485.97x = 113,076,443.93
  5. Step 5: Solve for x
    x = 113,076,443.93/10,485.97
  6. Step 6: Final answer
    x = 10,783.60

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.