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Finding the Fourth Proportional to 14,158.76, 19,539.78 and 7,871

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Solution

The fourth proportional to 14,158.76, 19,539.78 and 7,871 is: 10,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.76 : 19,539.78 = 7,871 : x
  2. Step 2: Convert to fraction form
    14,158.76/19,539.78 = 7,871/x
  3. Step 3: Cross multiply
    14,158.76x = 19,539.78 × 7,871
  4. Step 4: Simplify right side
    14,158.76x = 153,797,608.38
  5. Step 5: Solve for x
    x = 153,797,608.38/14,158.76
  6. Step 6: Final answer
    x = 10,862.36

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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.