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Finding the Fourth Proportional to 14,928.71, 22,397.94 and 7,138.13

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Solution

The fourth proportional to 14,928.71, 22,397.94 and 7,138.13 is: 10,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928.71 : 22,397.94 = 7,138.13 : x
  2. Step 2: Convert to fraction form
    14,928.71/22,397.94 = 7,138.13/x
  3. Step 3: Cross multiply
    14,928.71x = 22,397.94 × 7,138.13
  4. Step 4: Simplify right side
    14,928.71x = 159,879,295.46
  5. Step 5: Solve for x
    x = 159,879,295.46/14,928.71
  6. Step 6: Final answer
    x = 10,709.52

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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.