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Finding the Fourth Proportional to 12,989.40, 19,461.06 and 8,865.24

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Solution

The fourth proportional to 12,989.40, 19,461.06 and 8,865.24 is: 13,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.40 : 19,461.06 = 8,865.24 : x
  2. Step 2: Convert to fraction form
    12,989.40/19,461.06 = 8,865.24/x
  3. Step 3: Cross multiply
    12,989.40x = 19,461.06 × 8,865.24
  4. Step 4: Simplify right side
    12,989.40x = 172,526,967.55
  5. Step 5: Solve for x
    x = 172,526,967.55/12,989.40
  6. Step 6: Final answer
    x = 13,282.14

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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.