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Finding the Fourth Proportional to 4,086.78, 6,130.20 and 1,008.78

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Solution

The fourth proportional to 4,086.78, 6,130.20 and 1,008.78 is: 1,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.78 : 6,130.20 = 1,008.78 : x
  2. Step 2: Convert to fraction form
    4,086.78/6,130.20 = 1,008.78/x
  3. Step 3: Cross multiply
    4,086.78x = 6,130.20 × 1,008.78
  4. Step 4: Simplify right side
    4,086.78x = 6,184,023.16
  5. Step 5: Solve for x
    x = 6,184,023.16/4,086.78
  6. Step 6: Final answer
    x = 1,513.18

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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.