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Finding the Fourth Proportional to 7,753.77, 10,700.64 and 4,216.91

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Solution

The fourth proportional to 7,753.77, 10,700.64 and 4,216.91 is: 5,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.77 : 10,700.64 = 4,216.91 : x
  2. Step 2: Convert to fraction form
    7,753.77/10,700.64 = 4,216.91/x
  3. Step 3: Cross multiply
    7,753.77x = 10,700.64 × 4,216.91
  4. Step 4: Simplify right side
    7,753.77x = 45,123,635.82
  5. Step 5: Solve for x
    x = 45,123,635.82/7,753.77
  6. Step 6: Final answer
    x = 5,819.57

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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.