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Finding the Fourth Proportional to 14,647.60, 21,955.20 and 7,624.90

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Solution

The fourth proportional to 14,647.60, 21,955.20 and 7,624.90 is: 11,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.60 : 21,955.20 = 7,624.90 : x
  2. Step 2: Convert to fraction form
    14,647.60/21,955.20 = 7,624.90/x
  3. Step 3: Cross multiply
    14,647.60x = 21,955.20 × 7,624.90
  4. Step 4: Simplify right side
    14,647.60x = 167,406,204.48
  5. Step 5: Solve for x
    x = 167,406,204.48/14,647.60
  6. Step 6: Final answer
    x = 11,428.92

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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.