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Finding the Fourth Proportional to 12,355.68, 17,046 and 7,878.24

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Solution

The fourth proportional to 12,355.68, 17,046 and 7,878.24 is: 10,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.68 : 17,046 = 7,878.24 : x
  2. Step 2: Convert to fraction form
    12,355.68/17,046 = 7,878.24/x
  3. Step 3: Cross multiply
    12,355.68x = 17,046 × 7,878.24
  4. Step 4: Simplify right side
    12,355.68x = 134,292,479.04
  5. Step 5: Solve for x
    x = 134,292,479.04/12,355.68
  6. Step 6: Final answer
    x = 10,868.89

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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.