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Finding the Fourth Proportional to 13,686.51, 18,871.19 and 9,654

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Solution

The fourth proportional to 13,686.51, 18,871.19 and 9,654 is: 13,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.51 : 18,871.19 = 9,654 : x
  2. Step 2: Convert to fraction form
    13,686.51/18,871.19 = 9,654/x
  3. Step 3: Cross multiply
    13,686.51x = 18,871.19 × 9,654
  4. Step 4: Simplify right side
    13,686.51x = 182,182,468.26
  5. Step 5: Solve for x
    x = 182,182,468.26/13,686.51
  6. Step 6: Final answer
    x = 13,311.10

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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.