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Finding the Fourth Proportional to 10,366.80, 14,311.80 and 7,957.20

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Solution

The fourth proportional to 10,366.80, 14,311.80 and 7,957.20 is: 10,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.80 : 14,311.80 = 7,957.20 : x
  2. Step 2: Convert to fraction form
    10,366.80/14,311.80 = 7,957.20/x
  3. Step 3: Cross multiply
    10,366.80x = 14,311.80 × 7,957.20
  4. Step 4: Simplify right side
    10,366.80x = 113,881,854.96
  5. Step 5: Solve for x
    x = 113,881,854.96/10,366.80
  6. Step 6: Final answer
    x = 10,985.25

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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.