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Finding the Fourth Proportional to 5,478, 7,574.04 and 5,233.20

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Solution

The fourth proportional to 5,478, 7,574.04 and 5,233.20 is: 7,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 7,574.04 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    5,478/7,574.04 = 5,233.20/x
  3. Step 3: Cross multiply
    5,478x = 7,574.04 × 5,233.20
  4. Step 4: Simplify right side
    5,478x = 39,636,466.13
  5. Step 5: Solve for x
    x = 39,636,466.13/5,478
  6. Step 6: Final answer
    x = 7,235.57

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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.