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Finding the Fourth Proportional to 5,985.49, 8,978.24 and 2,864.76

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Solution

The fourth proportional to 5,985.49, 8,978.24 and 2,864.76 is: 4,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.49 : 8,978.24 = 2,864.76 : x
  2. Step 2: Convert to fraction form
    5,985.49/8,978.24 = 2,864.76/x
  3. Step 3: Cross multiply
    5,985.49x = 8,978.24 × 2,864.76
  4. Step 4: Simplify right side
    5,985.49x = 25,720,502.82
  5. Step 5: Solve for x
    x = 25,720,502.82/5,985.49
  6. Step 6: Final answer
    x = 4,297.14

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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.