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Finding the Fourth Proportional to 20,792, 28,701.60 and 14,824.64

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Solution

The fourth proportional to 20,792, 28,701.60 and 14,824.64 is: 20,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792 : 28,701.60 = 14,824.64 : x
  2. Step 2: Convert to fraction form
    20,792/28,701.60 = 14,824.64/x
  3. Step 3: Cross multiply
    20,792x = 28,701.60 × 14,824.64
  4. Step 4: Simplify right side
    20,792x = 425,490,887.42
  5. Step 5: Solve for x
    x = 425,490,887.42/20,792
  6. Step 6: Final answer
    x = 20,464.16

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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.