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Finding the Fourth Proportional to 14,708.12, 22,069.80 and 7,312.40

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Solution

The fourth proportional to 14,708.12, 22,069.80 and 7,312.40 is: 10,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.12 : 22,069.80 = 7,312.40 : x
  2. Step 2: Convert to fraction form
    14,708.12/22,069.80 = 7,312.40/x
  3. Step 3: Cross multiply
    14,708.12x = 22,069.80 × 7,312.40
  4. Step 4: Simplify right side
    14,708.12x = 161,383,205.52
  5. Step 5: Solve for x
    x = 161,383,205.52/14,708.12
  6. Step 6: Final answer
    x = 10,972.39

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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.