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Finding the Fourth Proportional to 3,547.71, 5,313.35 and 3,424.69

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Solution

The fourth proportional to 3,547.71, 5,313.35 and 3,424.69 is: 5,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.71 : 5,313.35 = 3,424.69 : x
  2. Step 2: Convert to fraction form
    3,547.71/5,313.35 = 3,424.69/x
  3. Step 3: Cross multiply
    3,547.71x = 5,313.35 × 3,424.69
  4. Step 4: Simplify right side
    3,547.71x = 18,196,576.61
  5. Step 5: Solve for x
    x = 18,196,576.61/3,547.71
  6. Step 6: Final answer
    x = 5,129.10

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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.