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Finding the Fourth Proportional to 5,712.80, 8,521 and 5,209.76

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Solution

The fourth proportional to 5,712.80, 8,521 and 5,209.76 is: 7,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.80 : 8,521 = 5,209.76 : x
  2. Step 2: Convert to fraction form
    5,712.80/8,521 = 5,209.76/x
  3. Step 3: Cross multiply
    5,712.80x = 8,521 × 5,209.76
  4. Step 4: Simplify right side
    5,712.80x = 44,392,364.96
  5. Step 5: Solve for x
    x = 44,392,364.96/5,712.80
  6. Step 6: Final answer
    x = 7,770.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.