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Finding the Fourth Proportional to 5,326.61, 7,978.28 and 4,391.67

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Solution

The fourth proportional to 5,326.61, 7,978.28 and 4,391.67 is: 6,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.61 : 7,978.28 = 4,391.67 : x
  2. Step 2: Convert to fraction form
    5,326.61/7,978.28 = 4,391.67/x
  3. Step 3: Cross multiply
    5,326.61x = 7,978.28 × 4,391.67
  4. Step 4: Simplify right side
    5,326.61x = 35,037,972.93
  5. Step 5: Solve for x
    x = 35,037,972.93/5,326.61
  6. Step 6: Final answer
    x = 6,577.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.