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Finding the Fourth Proportional to 9,139.66, 12,612.74 and 4,947.91

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Solution

The fourth proportional to 9,139.66, 12,612.74 and 4,947.91 is: 6,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.66 : 12,612.74 = 4,947.91 : x
  2. Step 2: Convert to fraction form
    9,139.66/12,612.74 = 4,947.91/x
  3. Step 3: Cross multiply
    9,139.66x = 12,612.74 × 4,947.91
  4. Step 4: Simplify right side
    9,139.66x = 62,406,702.37
  5. Step 5: Solve for x
    x = 62,406,702.37/9,139.66
  6. Step 6: Final answer
    x = 6,828.12

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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.