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Finding the Fourth Proportional to 5,712.80, 8,569.20 and 5,290.40

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Solution

The fourth proportional to 5,712.80, 8,569.20 and 5,290.40 is: 7,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.80 : 8,569.20 = 5,290.40 : x
  2. Step 2: Convert to fraction form
    5,712.80/8,569.20 = 5,290.40/x
  3. Step 3: Cross multiply
    5,712.80x = 8,569.20 × 5,290.40
  4. Step 4: Simplify right side
    5,712.80x = 45,334,495.68
  5. Step 5: Solve for x
    x = 45,334,495.68/5,712.80
  6. Step 6: Final answer
    x = 7,935.60

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Similar ratio
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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.