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Finding the Fourth Proportional to 10,200.62, 14,068.92 and 7,378.58

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Solution

The fourth proportional to 10,200.62, 14,068.92 and 7,378.58 is: 10,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.62 : 14,068.92 = 7,378.58 : x
  2. Step 2: Convert to fraction form
    10,200.62/14,068.92 = 7,378.58/x
  3. Step 3: Cross multiply
    10,200.62x = 14,068.92 × 7,378.58
  4. Step 4: Simplify right side
    10,200.62x = 103,808,651.73
  5. Step 5: Solve for x
    x = 103,808,651.73/10,200.62
  6. Step 6: Final answer
    x = 10,176.70

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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.