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Finding the Fourth Proportional to 6,138.78, 8,461.80 and 5,630.28

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Solution

The fourth proportional to 6,138.78, 8,461.80 and 5,630.28 is: 7,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.78 : 8,461.80 = 5,630.28 : x
  2. Step 2: Convert to fraction form
    6,138.78/8,461.80 = 5,630.28/x
  3. Step 3: Cross multiply
    6,138.78x = 8,461.80 × 5,630.28
  4. Step 4: Simplify right side
    6,138.78x = 47,642,303.30
  5. Step 5: Solve for x
    x = 47,642,303.30/6,138.78
  6. Step 6: Final answer
    x = 7,760.87

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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.