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Finding the Fourth Proportional to 5,549.81, 7,648.21 and 3,975.17

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Solution

The fourth proportional to 5,549.81, 7,648.21 and 3,975.17 is: 5,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.81 : 7,648.21 = 3,975.17 : x
  2. Step 2: Convert to fraction form
    5,549.81/7,648.21 = 3,975.17/x
  3. Step 3: Cross multiply
    5,549.81x = 7,648.21 × 3,975.17
  4. Step 4: Simplify right side
    5,549.81x = 30,402,934.95
  5. Step 5: Solve for x
    x = 30,402,934.95/5,549.81
  6. Step 6: Final answer
    x = 5,478.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.