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Finding the Fourth Proportional to 9,702.80, 13,382.28 and 8,214.80

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Solution

The fourth proportional to 9,702.80, 13,382.28 and 8,214.80 is: 11,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.80 : 13,382.28 = 8,214.80 : x
  2. Step 2: Convert to fraction form
    9,702.80/13,382.28 = 8,214.80/x
  3. Step 3: Cross multiply
    9,702.80x = 13,382.28 × 8,214.80
  4. Step 4: Simplify right side
    9,702.80x = 109,932,753.74
  5. Step 5: Solve for x
    x = 109,932,753.74/9,702.80
  6. Step 6: Final answer
    x = 11,330.00

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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.