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Finding the Fourth Proportional to 9,730.85, 13,428.05 and 5,482.13

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Solution

The fourth proportional to 9,730.85, 13,428.05 and 5,482.13 is: 7,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.85 : 13,428.05 = 5,482.13 : x
  2. Step 2: Convert to fraction form
    9,730.85/13,428.05 = 5,482.13/x
  3. Step 3: Cross multiply
    9,730.85x = 13,428.05 × 5,482.13
  4. Step 4: Simplify right side
    9,730.85x = 73,614,221.20
  5. Step 5: Solve for x
    x = 73,614,221.20/9,730.85
  6. Step 6: Final answer
    x = 7,565.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.