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Finding the Fourth Proportional to 11,347.30, 15,658.08 and 6,310.71

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Solution

The fourth proportional to 11,347.30, 15,658.08 and 6,310.71 is: 8,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.30 : 15,658.08 = 6,310.71 : x
  2. Step 2: Convert to fraction form
    11,347.30/15,658.08 = 6,310.71/x
  3. Step 3: Cross multiply
    11,347.30x = 15,658.08 × 6,310.71
  4. Step 4: Simplify right side
    11,347.30x = 98,813,602.04
  5. Step 5: Solve for x
    x = 98,813,602.04/11,347.30
  6. Step 6: Final answer
    x = 8,708.12

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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.