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Finding the Fourth Proportional to 5,622.54, 7,761.15 and 4,572.78

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Solution

The fourth proportional to 5,622.54, 7,761.15 and 4,572.78 is: 6,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.54 : 7,761.15 = 4,572.78 : x
  2. Step 2: Convert to fraction form
    5,622.54/7,761.15 = 4,572.78/x
  3. Step 3: Cross multiply
    5,622.54x = 7,761.15 × 4,572.78
  4. Step 4: Simplify right side
    5,622.54x = 35,490,031.50
  5. Step 5: Solve for x
    x = 35,490,031.50/5,622.54
  6. Step 6: Final answer
    x = 6,312.10

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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.