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Finding the Fourth Proportional to 5,545.71, 7,639.69 and 4,746.48

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Solution

The fourth proportional to 5,545.71, 7,639.69 and 4,746.48 is: 6,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.71 : 7,639.69 = 4,746.48 : x
  2. Step 2: Convert to fraction form
    5,545.71/7,639.69 = 4,746.48/x
  3. Step 3: Cross multiply
    5,545.71x = 7,639.69 × 4,746.48
  4. Step 4: Simplify right side
    5,545.71x = 36,261,635.79
  5. Step 5: Solve for x
    x = 36,261,635.79/5,545.71
  6. Step 6: Final answer
    x = 6,538.68

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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.