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Finding the Fourth Proportional to 2,646.98, 3,970.73 and 915.38

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Solution

The fourth proportional to 2,646.98, 3,970.73 and 915.38 is: 1,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.98 : 3,970.73 = 915.38 : x
  2. Step 2: Convert to fraction form
    2,646.98/3,970.73 = 915.38/x
  3. Step 3: Cross multiply
    2,646.98x = 3,970.73 × 915.38
  4. Step 4: Simplify right side
    2,646.98x = 3,634,726.83
  5. Step 5: Solve for x
    x = 3,634,726.83/2,646.98
  6. Step 6: Final answer
    x = 1,373.16

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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.