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Finding the Fourth Proportional to 18,724, 28,107.60 and 9,509.44

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Solution

The fourth proportional to 18,724, 28,107.60 and 9,509.44 is: 14,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724 : 28,107.60 = 9,509.44 : x
  2. Step 2: Convert to fraction form
    18,724/28,107.60 = 9,509.44/x
  3. Step 3: Cross multiply
    18,724x = 28,107.60 × 9,509.44
  4. Step 4: Simplify right side
    18,724x = 267,287,535.74
  5. Step 5: Solve for x
    x = 267,287,535.74/18,724
  6. Step 6: Final answer
    x = 14,275.13

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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.