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Finding the Fourth Proportional to 6,158.78, 9,238.11 and 1,541.78

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Solution

The fourth proportional to 6,158.78, 9,238.11 and 1,541.78 is: 2,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.78 : 9,238.11 = 1,541.78 : x
  2. Step 2: Convert to fraction form
    6,158.78/9,238.11 = 1,541.78/x
  3. Step 3: Cross multiply
    6,158.78x = 9,238.11 × 1,541.78
  4. Step 4: Simplify right side
    6,158.78x = 14,243,133.24
  5. Step 5: Solve for x
    x = 14,243,133.24/6,158.78
  6. Step 6: Final answer
    x = 2,312.65

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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.