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Finding the Fourth Proportional to 1,941.10, 2,910.70 and 642.13

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Solution

The fourth proportional to 1,941.10, 2,910.70 and 642.13 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.10 : 2,910.70 = 642.13 : x
  2. Step 2: Convert to fraction form
    1,941.10/2,910.70 = 642.13/x
  3. Step 3: Cross multiply
    1,941.10x = 2,910.70 × 642.13
  4. Step 4: Simplify right side
    1,941.10x = 1,869,030.03
  5. Step 5: Solve for x
    x = 1,869,030.03/1,941.10
  6. Step 6: Final answer
    x = 962.87

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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.