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Finding the Fourth Proportional to 11,478.92, 15,840.86 and 6,702.14

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Solution

The fourth proportional to 11,478.92, 15,840.86 and 6,702.14 is: 9,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.92 : 15,840.86 = 6,702.14 : x
  2. Step 2: Convert to fraction form
    11,478.92/15,840.86 = 6,702.14/x
  3. Step 3: Cross multiply
    11,478.92x = 15,840.86 × 6,702.14
  4. Step 4: Simplify right side
    11,478.92x = 106,167,667.53
  5. Step 5: Solve for x
    x = 106,167,667.53/11,478.92
  6. Step 6: Final answer
    x = 9,248.93

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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.