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Finding the Fourth Proportional to 7,116.32, 9,817.12 and 4,462.40

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Solution

The fourth proportional to 7,116.32, 9,817.12 and 4,462.40 is: 6,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.32 : 9,817.12 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    7,116.32/9,817.12 = 4,462.40/x
  3. Step 3: Cross multiply
    7,116.32x = 9,817.12 × 4,462.40
  4. Step 4: Simplify right side
    7,116.32x = 43,807,916.29
  5. Step 5: Solve for x
    x = 43,807,916.29/7,116.32
  6. Step 6: Final answer
    x = 6,155.98

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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.