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Finding the Fourth Proportional to 5,138.21, 7,710.98 and 4,642.49

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Solution

The fourth proportional to 5,138.21, 7,710.98 and 4,642.49 is: 6,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.21 : 7,710.98 = 4,642.49 : x
  2. Step 2: Convert to fraction form
    5,138.21/7,710.98 = 4,642.49/x
  3. Step 3: Cross multiply
    5,138.21x = 7,710.98 × 4,642.49
  4. Step 4: Simplify right side
    5,138.21x = 35,798,143.61
  5. Step 5: Solve for x
    x = 35,798,143.61/5,138.21
  6. Step 6: Final answer
    x = 6,967.04

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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.