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Finding the Fourth Proportional to 7,865.55, 10,861.02 and 7,024.77

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Solution

The fourth proportional to 7,865.55, 10,861.02 and 7,024.77 is: 9,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.55 : 10,861.02 = 7,024.77 : x
  2. Step 2: Convert to fraction form
    7,865.55/10,861.02 = 7,024.77/x
  3. Step 3: Cross multiply
    7,865.55x = 10,861.02 × 7,024.77
  4. Step 4: Simplify right side
    7,865.55x = 76,296,167.47
  5. Step 5: Solve for x
    x = 76,296,167.47/7,865.55
  6. Step 6: Final answer
    x = 9,700.04

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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.