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Finding the Fourth Proportional to 14,657.50, 21,986.25 and 3,713.50

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Solution

The fourth proportional to 14,657.50, 21,986.25 and 3,713.50 is: 5,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.50 : 21,986.25 = 3,713.50 : x
  2. Step 2: Convert to fraction form
    14,657.50/21,986.25 = 3,713.50/x
  3. Step 3: Cross multiply
    14,657.50x = 21,986.25 × 3,713.50
  4. Step 4: Simplify right side
    14,657.50x = 81,645,939.38
  5. Step 5: Solve for x
    x = 81,645,939.38/14,657.50
  6. Step 6: Final answer
    x = 5,570.25

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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.