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Finding the Fourth Proportional to 7,178.68, 9,904.17 and 4,663.90

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Solution

The fourth proportional to 7,178.68, 9,904.17 and 4,663.90 is: 6,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.68 : 9,904.17 = 4,663.90 : x
  2. Step 2: Convert to fraction form
    7,178.68/9,904.17 = 4,663.90/x
  3. Step 3: Cross multiply
    7,178.68x = 9,904.17 × 4,663.90
  4. Step 4: Simplify right side
    7,178.68x = 46,192,058.46
  5. Step 5: Solve for x
    x = 46,192,058.46/7,178.68
  6. Step 6: Final answer
    x = 6,434.62

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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.