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Finding the Fourth Proportional to 19,549.58, 29,342 and 12,168.46

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Solution

The fourth proportional to 19,549.58, 29,342 and 12,168.46 is: 18,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.58 : 29,342 = 12,168.46 : x
  2. Step 2: Convert to fraction form
    19,549.58/29,342 = 12,168.46/x
  3. Step 3: Cross multiply
    19,549.58x = 29,342 × 12,168.46
  4. Step 4: Simplify right side
    19,549.58x = 357,046,953.32
  5. Step 5: Solve for x
    x = 357,046,953.32/19,549.58
  6. Step 6: Final answer
    x = 18,263.66

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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.