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Finding the Fourth Proportional to 10,078, 15,117.54 and 3,153.04

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Solution

The fourth proportional to 10,078, 15,117.54 and 3,153.04 is: 4,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 15,117.54 = 3,153.04 : x
  2. Step 2: Convert to fraction form
    10,078/15,117.54 = 3,153.04/x
  3. Step 3: Cross multiply
    10,078x = 15,117.54 × 3,153.04
  4. Step 4: Simplify right side
    10,078x = 47,666,208.32
  5. Step 5: Solve for x
    x = 47,666,208.32/10,078
  6. Step 6: Final answer
    x = 4,729.73

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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.