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Finding the Fourth Proportional to 7,877.14, 11,817.76 and 2,947.17

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Solution

The fourth proportional to 7,877.14, 11,817.76 and 2,947.17 is: 4,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.14 : 11,817.76 = 2,947.17 : x
  2. Step 2: Convert to fraction form
    7,877.14/11,817.76 = 2,947.17/x
  3. Step 3: Cross multiply
    7,877.14x = 11,817.76 × 2,947.17
  4. Step 4: Simplify right side
    7,877.14x = 34,828,888.65
  5. Step 5: Solve for x
    x = 34,828,888.65/7,877.14
  6. Step 6: Final answer
    x = 4,421.51

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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.