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Finding the Fourth Proportional to 15,152.97, 20,905.20 and 9,485.40

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Solution

The fourth proportional to 15,152.97, 20,905.20 and 9,485.40 is: 13,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.97 : 20,905.20 = 9,485.40 : x
  2. Step 2: Convert to fraction form
    15,152.97/20,905.20 = 9,485.40/x
  3. Step 3: Cross multiply
    15,152.97x = 20,905.20 × 9,485.40
  4. Step 4: Simplify right side
    15,152.97x = 198,294,184.08
  5. Step 5: Solve for x
    x = 198,294,184.08/15,152.97
  6. Step 6: Final answer
    x = 13,086.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.