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Finding the Fourth Proportional to 20,702.13, 31,054.19 and 5,913.20

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Solution

The fourth proportional to 20,702.13, 31,054.19 and 5,913.20 is: 8,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.13 : 31,054.19 = 5,913.20 : x
  2. Step 2: Convert to fraction form
    20,702.13/31,054.19 = 5,913.20/x
  3. Step 3: Cross multiply
    20,702.13x = 31,054.19 × 5,913.20
  4. Step 4: Simplify right side
    20,702.13x = 183,629,636.31
  5. Step 5: Solve for x
    x = 183,629,636.31/20,702.13
  6. Step 6: Final answer
    x = 8,870.08

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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.