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Finding the Fourth Proportional to 6,460, 8,915.16 and 3,665.56

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Solution

The fourth proportional to 6,460, 8,915.16 and 3,665.56 is: 5,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 8,915.16 = 3,665.56 : x
  2. Step 2: Convert to fraction form
    6,460/8,915.16 = 3,665.56/x
  3. Step 3: Cross multiply
    6,460x = 8,915.16 × 3,665.56
  4. Step 4: Simplify right side
    6,460x = 32,679,053.89
  5. Step 5: Solve for x
    x = 32,679,053.89/6,460
  6. Step 6: Final answer
    x = 5,058.68

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