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Finding the Fourth Proportional to 12,902.10, 19,324.35 and 9,970.90

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Solution

The fourth proportional to 12,902.10, 19,324.35 and 9,970.90 is: 14,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.10 : 19,324.35 = 9,970.90 : x
  2. Step 2: Convert to fraction form
    12,902.10/19,324.35 = 9,970.90/x
  3. Step 3: Cross multiply
    12,902.10x = 19,324.35 × 9,970.90
  4. Step 4: Simplify right side
    12,902.10x = 192,681,161.42
  5. Step 5: Solve for x
    x = 192,681,161.42/12,902.10
  6. Step 6: Final answer
    x = 14,934.09

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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.