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Finding the Fourth Proportional to 9,201.40, 13,802.10 and 8,702.20

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Solution

The fourth proportional to 9,201.40, 13,802.10 and 8,702.20 is: 13,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.40 : 13,802.10 = 8,702.20 : x
  2. Step 2: Convert to fraction form
    9,201.40/13,802.10 = 8,702.20/x
  3. Step 3: Cross multiply
    9,201.40x = 13,802.10 × 8,702.20
  4. Step 4: Simplify right side
    9,201.40x = 120,108,634.62
  5. Step 5: Solve for x
    x = 120,108,634.62/9,201.40
  6. Step 6: Final answer
    x = 13,053.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.