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Finding the Fourth Proportional to 7,177.56, 9,909.86 and 6,418.98

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Solution

The fourth proportional to 7,177.56, 9,909.86 and 6,418.98 is: 8,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.56 : 9,909.86 = 6,418.98 : x
  2. Step 2: Convert to fraction form
    7,177.56/9,909.86 = 6,418.98/x
  3. Step 3: Cross multiply
    7,177.56x = 9,909.86 × 6,418.98
  4. Step 4: Simplify right side
    7,177.56x = 63,611,152.32
  5. Step 5: Solve for x
    x = 63,611,152.32/7,177.56
  6. Step 6: Final answer
    x = 8,862.51

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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.