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Finding the Fourth Proportional to 8,402.67, 12,595.65 and 4,015

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Solution

The fourth proportional to 8,402.67, 12,595.65 and 4,015 is: 6,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.67 : 12,595.65 = 4,015 : x
  2. Step 2: Convert to fraction form
    8,402.67/12,595.65 = 4,015/x
  3. Step 3: Cross multiply
    8,402.67x = 12,595.65 × 4,015
  4. Step 4: Simplify right side
    8,402.67x = 50,571,534.75
  5. Step 5: Solve for x
    x = 50,571,534.75/8,402.67
  6. Step 6: Final answer
    x = 6,018.51

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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.