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Finding the Fourth Proportional to 32,478.16, 48,719 and 9,106.42

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Solution

The fourth proportional to 32,478.16, 48,719 and 9,106.42 is: 13,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.16 : 48,719 = 9,106.42 : x
  2. Step 2: Convert to fraction form
    32,478.16/48,719 = 9,106.42/x
  3. Step 3: Cross multiply
    32,478.16x = 48,719 × 9,106.42
  4. Step 4: Simplify right side
    32,478.16x = 443,655,675.98
  5. Step 5: Solve for x
    x = 443,655,675.98/32,478.16
  6. Step 6: Final answer
    x = 13,660.12

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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.