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Finding the Fourth Proportional to 3,547.92, 4,890.48 and 3,478.80

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Solution

The fourth proportional to 3,547.92, 4,890.48 and 3,478.80 is: 4,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.92 : 4,890.48 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    3,547.92/4,890.48 = 3,478.80/x
  3. Step 3: Cross multiply
    3,547.92x = 4,890.48 × 3,478.80
  4. Step 4: Simplify right side
    3,547.92x = 17,013,001.82
  5. Step 5: Solve for x
    x = 17,013,001.82/3,547.92
  6. Step 6: Final answer
    x = 4,795.20

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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.