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Finding the Fourth Proportional to 9,142.75, 12,617.01 and 4,951

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Solution

The fourth proportional to 9,142.75, 12,617.01 and 4,951 is: 6,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.75 : 12,617.01 = 4,951 : x
  2. Step 2: Convert to fraction form
    9,142.75/12,617.01 = 4,951/x
  3. Step 3: Cross multiply
    9,142.75x = 12,617.01 × 4,951
  4. Step 4: Simplify right side
    9,142.75x = 62,466,816.51
  5. Step 5: Solve for x
    x = 62,466,816.51/9,142.75
  6. Step 6: Final answer
    x = 6,832.39

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Double scale
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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.