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Finding the Fourth Proportional to 5,468.80, 8,203.20 and 2,547.40

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Solution

The fourth proportional to 5,468.80, 8,203.20 and 2,547.40 is: 3,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.80 : 8,203.20 = 2,547.40 : x
  2. Step 2: Convert to fraction form
    5,468.80/8,203.20 = 2,547.40/x
  3. Step 3: Cross multiply
    5,468.80x = 8,203.20 × 2,547.40
  4. Step 4: Simplify right side
    5,468.80x = 20,896,831.68
  5. Step 5: Solve for x
    x = 20,896,831.68/5,468.80
  6. Step 6: Final answer
    x = 3,821.10

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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.