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Finding the Fourth Proportional to 3,058.46, 4,587 and 866.60

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Solution

The fourth proportional to 3,058.46, 4,587 and 866.60 is: 1,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.46 : 4,587 = 866.60 : x
  2. Step 2: Convert to fraction form
    3,058.46/4,587 = 866.60/x
  3. Step 3: Cross multiply
    3,058.46x = 4,587 × 866.60
  4. Step 4: Simplify right side
    3,058.46x = 3,975,094.20
  5. Step 5: Solve for x
    x = 3,975,094.20/3,058.46
  6. Step 6: Final answer
    x = 1,299.70

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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.