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Finding the Fourth Proportional to 15,700.64, 21,657.60 and 10,724

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Solution

The fourth proportional to 15,700.64, 21,657.60 and 10,724 is: 14,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.64 : 21,657.60 = 10,724 : x
  2. Step 2: Convert to fraction form
    15,700.64/21,657.60 = 10,724/x
  3. Step 3: Cross multiply
    15,700.64x = 21,657.60 × 10,724
  4. Step 4: Simplify right side
    15,700.64x = 232,256,102.40
  5. Step 5: Solve for x
    x = 232,256,102.40/15,700.64
  6. Step 6: Final answer
    x = 14,792.78

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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.