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Finding the Fourth Proportional to 9,240.40, 12,751.76 and 6,592.40

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Solution

The fourth proportional to 9,240.40, 12,751.76 and 6,592.40 is: 9,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.40 : 12,751.76 = 6,592.40 : x
  2. Step 2: Convert to fraction form
    9,240.40/12,751.76 = 6,592.40/x
  3. Step 3: Cross multiply
    9,240.40x = 12,751.76 × 6,592.40
  4. Step 4: Simplify right side
    9,240.40x = 84,064,702.62
  5. Step 5: Solve for x
    x = 84,064,702.62/9,240.40
  6. Step 6: Final answer
    x = 9,097.52

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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.