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Finding the Fourth Proportional to 15,871.68, 23,802.12 and 5,481

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Solution

The fourth proportional to 15,871.68, 23,802.12 and 5,481 is: 8,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.68 : 23,802.12 = 5,481 : x
  2. Step 2: Convert to fraction form
    15,871.68/23,802.12 = 5,481/x
  3. Step 3: Cross multiply
    15,871.68x = 23,802.12 × 5,481
  4. Step 4: Simplify right side
    15,871.68x = 130,459,419.72
  5. Step 5: Solve for x
    x = 130,459,419.72/15,871.68
  6. Step 6: Final answer
    x = 8,219.64

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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.