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Finding the Fourth Proportional to 10,449.60, 14,421.12 and 5,734.40

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Solution

The fourth proportional to 10,449.60, 14,421.12 and 5,734.40 is: 7,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.60 : 14,421.12 = 5,734.40 : x
  2. Step 2: Convert to fraction form
    10,449.60/14,421.12 = 5,734.40/x
  3. Step 3: Cross multiply
    10,449.60x = 14,421.12 × 5,734.40
  4. Step 4: Simplify right side
    10,449.60x = 82,696,470.53
  5. Step 5: Solve for x
    x = 82,696,470.53/10,449.60
  6. Step 6: Final answer
    x = 7,913.84

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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.