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Finding the Fourth Proportional to 12,294.43, 18,442.79 and 4,897.10

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Solution

The fourth proportional to 12,294.43, 18,442.79 and 4,897.10 is: 7,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.43 : 18,442.79 = 4,897.10 : x
  2. Step 2: Convert to fraction form
    12,294.43/18,442.79 = 4,897.10/x
  3. Step 3: Cross multiply
    12,294.43x = 18,442.79 × 4,897.10
  4. Step 4: Simplify right side
    12,294.43x = 90,316,186.91
  5. Step 5: Solve for x
    x = 90,316,186.91/12,294.43
  6. Step 6: Final answer
    x = 7,346.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.