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Finding the Fourth Proportional to 21,259.80, 31,870.02 and 9,407.29

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Solution

The fourth proportional to 21,259.80, 31,870.02 and 9,407.29 is: 14,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.80 : 31,870.02 = 9,407.29 : x
  2. Step 2: Convert to fraction form
    21,259.80/31,870.02 = 9,407.29/x
  3. Step 3: Cross multiply
    21,259.80x = 31,870.02 × 9,407.29
  4. Step 4: Simplify right side
    21,259.80x = 299,810,520.45
  5. Step 5: Solve for x
    x = 299,810,520.45/21,259.80
  6. Step 6: Final answer
    x = 14,102.23

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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.