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Finding the Fourth Proportional to 6,460.56, 8,915.40 and 3,666

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Solution

The fourth proportional to 6,460.56, 8,915.40 and 3,666 is: 5,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.56 : 8,915.40 = 3,666 : x
  2. Step 2: Convert to fraction form
    6,460.56/8,915.40 = 3,666/x
  3. Step 3: Cross multiply
    6,460.56x = 8,915.40 × 3,666
  4. Step 4: Simplify right side
    6,460.56x = 32,683,856.40
  5. Step 5: Solve for x
    x = 32,683,856.40/6,460.56
  6. Step 6: Final answer
    x = 5,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.