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Finding the Fourth Proportional to 12,292.20, 18,416.70 and 10,564.20

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Solution

The fourth proportional to 12,292.20, 18,416.70 and 10,564.20 is: 15,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.20 : 18,416.70 = 10,564.20 : x
  2. Step 2: Convert to fraction form
    12,292.20/18,416.70 = 10,564.20/x
  3. Step 3: Cross multiply
    12,292.20x = 18,416.70 × 10,564.20
  4. Step 4: Simplify right side
    12,292.20x = 194,557,702.14
  5. Step 5: Solve for x
    x = 194,557,702.14/12,292.20
  6. Step 6: Final answer
    x = 15,827.74

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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.