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Finding the Fourth Proportional to 7,746.13, 11,621.01 and 2,552

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Solution

The fourth proportional to 7,746.13, 11,621.01 and 2,552 is: 3,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.13 : 11,621.01 = 2,552 : x
  2. Step 2: Convert to fraction form
    7,746.13/11,621.01 = 2,552/x
  3. Step 3: Cross multiply
    7,746.13x = 11,621.01 × 2,552
  4. Step 4: Simplify right side
    7,746.13x = 29,656,817.52
  5. Step 5: Solve for x
    x = 29,656,817.52/7,746.13
  6. Step 6: Final answer
    x = 3,828.60

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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.