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Finding the Fourth Proportional to 2,646.50, 3,970.02 and 915.12

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Solution

The fourth proportional to 2,646.50, 3,970.02 and 915.12 is: 1,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.50 : 3,970.02 = 915.12 : x
  2. Step 2: Convert to fraction form
    2,646.50/3,970.02 = 915.12/x
  3. Step 3: Cross multiply
    2,646.50x = 3,970.02 × 915.12
  4. Step 4: Simplify right side
    2,646.50x = 3,633,044.70
  5. Step 5: Solve for x
    x = 3,633,044.70/2,646.50
  6. Step 6: Final answer
    x = 1,372.77

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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.