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Finding the Fourth Proportional to 9,139.68, 12,612.75 and 4,947.93

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Solution

The fourth proportional to 9,139.68, 12,612.75 and 4,947.93 is: 6,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.68 : 12,612.75 = 4,947.93 : x
  2. Step 2: Convert to fraction form
    9,139.68/12,612.75 = 4,947.93/x
  3. Step 3: Cross multiply
    9,139.68x = 12,612.75 × 4,947.93
  4. Step 4: Simplify right side
    9,139.68x = 62,407,004.11
  5. Step 5: Solve for x
    x = 62,407,004.11/9,139.68
  6. Step 6: Final answer
    x = 6,828.14

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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.