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Finding the Fourth Proportional to 10,782.59, 14,865.14 and 7,378.97

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Solution

The fourth proportional to 10,782.59, 14,865.14 and 7,378.97 is: 10,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.59 : 14,865.14 = 7,378.97 : x
  2. Step 2: Convert to fraction form
    10,782.59/14,865.14 = 7,378.97/x
  3. Step 3: Cross multiply
    10,782.59x = 14,865.14 × 7,378.97
  4. Step 4: Simplify right side
    10,782.59x = 109,689,385.21
  5. Step 5: Solve for x
    x = 109,689,385.21/10,782.59
  6. Step 6: Final answer
    x = 10,172.82

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1.5x scale

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.