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Finding the Fourth Proportional to 6,657.59, 9,985.02 and 3,146.11

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Solution

The fourth proportional to 6,657.59, 9,985.02 and 3,146.11 is: 4,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.59 : 9,985.02 = 3,146.11 : x
  2. Step 2: Convert to fraction form
    6,657.59/9,985.02 = 3,146.11/x
  3. Step 3: Cross multiply
    6,657.59x = 9,985.02 × 3,146.11
  4. Step 4: Simplify right side
    6,657.59x = 31,413,952.21
  5. Step 5: Solve for x
    x = 31,413,952.21/6,657.59
  6. Step 6: Final answer
    x = 4,718.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.