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Finding the Fourth Proportional to 10,146.64, 15,220 and 3,126.60

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Solution

The fourth proportional to 10,146.64, 15,220 and 3,126.60 is: 4,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.64 : 15,220 = 3,126.60 : x
  2. Step 2: Convert to fraction form
    10,146.64/15,220 = 3,126.60/x
  3. Step 3: Cross multiply
    10,146.64x = 15,220 × 3,126.60
  4. Step 4: Simplify right side
    10,146.64x = 47,586,852
  5. Step 5: Solve for x
    x = 47,586,852/10,146.64
  6. Step 6: Final answer
    x = 4,689.91

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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.