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Finding the Fourth Proportional to 13,312.80, 18,360 and 10,659.24

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Solution

The fourth proportional to 13,312.80, 18,360 and 10,659.24 is: 14,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.80 : 18,360 = 10,659.24 : x
  2. Step 2: Convert to fraction form
    13,312.80/18,360 = 10,659.24/x
  3. Step 3: Cross multiply
    13,312.80x = 18,360 × 10,659.24
  4. Step 4: Simplify right side
    13,312.80x = 195,703,646.40
  5. Step 5: Solve for x
    x = 195,703,646.40/13,312.80
  6. Step 6: Final answer
    x = 14,700.41

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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.