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Finding the Fourth Proportional to 9,892.80, 13,651.60 and 5,702.40

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Solution

The fourth proportional to 9,892.80, 13,651.60 and 5,702.40 is: 7,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.80 : 13,651.60 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    9,892.80/13,651.60 = 5,702.40/x
  3. Step 3: Cross multiply
    9,892.80x = 13,651.60 × 5,702.40
  4. Step 4: Simplify right side
    9,892.80x = 77,846,883.84
  5. Step 5: Solve for x
    x = 77,846,883.84/9,892.80
  6. Step 6: Final answer
    x = 7,869.04

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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.