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Finding the Fourth Proportional to 10,078.46, 15,120.46 and 3,058.70

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Solution

The fourth proportional to 10,078.46, 15,120.46 and 3,058.70 is: 4,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.46 : 15,120.46 = 3,058.70 : x
  2. Step 2: Convert to fraction form
    10,078.46/15,120.46 = 3,058.70/x
  3. Step 3: Cross multiply
    10,078.46x = 15,120.46 × 3,058.70
  4. Step 4: Simplify right side
    10,078.46x = 46,248,951.00
  5. Step 5: Solve for x
    x = 46,248,951.00/10,078.46
  6. Step 6: Final answer
    x = 4,588.89

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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.