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Finding the Fourth Proportional to 5,326.02, 7,978.10 and 4,154.76

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Solution

The fourth proportional to 5,326.02, 7,978.10 and 4,154.76 is: 6,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.02 : 7,978.10 = 4,154.76 : x
  2. Step 2: Convert to fraction form
    5,326.02/7,978.10 = 4,154.76/x
  3. Step 3: Cross multiply
    5,326.02x = 7,978.10 × 4,154.76
  4. Step 4: Simplify right side
    5,326.02x = 33,147,069.98
  5. Step 5: Solve for x
    x = 33,147,069.98/5,326.02
  6. Step 6: Final answer
    x = 6,223.61

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1.5x scale

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.