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Finding the Fourth Proportional to 2,646.63, 3,969.99 and 915.30

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Solution

The fourth proportional to 2,646.63, 3,969.99 and 915.30 is: 1,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.63 : 3,969.99 = 915.30 : x
  2. Step 2: Convert to fraction form
    2,646.63/3,969.99 = 915.30/x
  3. Step 3: Cross multiply
    2,646.63x = 3,969.99 × 915.30
  4. Step 4: Simplify right side
    2,646.63x = 3,633,731.85
  5. Step 5: Solve for x
    x = 3,633,731.85/2,646.63
  6. Step 6: Final answer
    x = 1,372.97

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1.5x scale

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.