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Finding the Fourth Proportional to 9,799.80, 14,702.12 and 2,874.28

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Solution

The fourth proportional to 9,799.80, 14,702.12 and 2,874.28 is: 4,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.80 : 14,702.12 = 2,874.28 : x
  2. Step 2: Convert to fraction form
    9,799.80/14,702.12 = 2,874.28/x
  3. Step 3: Cross multiply
    9,799.80x = 14,702.12 × 2,874.28
  4. Step 4: Simplify right side
    9,799.80x = 42,258,009.47
  5. Step 5: Solve for x
    x = 42,258,009.47/9,799.80
  6. Step 6: Final answer
    x = 4,312.13

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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.