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Finding the Fourth Proportional to 9,702.78, 13,382.01 and 6,515.12

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Solution

The fourth proportional to 9,702.78, 13,382.01 and 6,515.12 is: 8,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.78 : 13,382.01 = 6,515.12 : x
  2. Step 2: Convert to fraction form
    9,702.78/13,382.01 = 6,515.12/x
  3. Step 3: Cross multiply
    9,702.78x = 13,382.01 × 6,515.12
  4. Step 4: Simplify right side
    9,702.78x = 87,185,384.26
  5. Step 5: Solve for x
    x = 87,185,384.26/9,702.78
  6. Step 6: Final answer
    x = 8,985.61

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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.