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Finding the Fourth Proportional to 1,938.79, 2,909.40 and 641.17

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Solution

The fourth proportional to 1,938.79, 2,909.40 and 641.17 is: 962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.79 : 2,909.40 = 641.17 : x
  2. Step 2: Convert to fraction form
    1,938.79/2,909.40 = 641.17/x
  3. Step 3: Cross multiply
    1,938.79x = 2,909.40 × 641.17
  4. Step 4: Simplify right side
    1,938.79x = 1,865,420.00
  5. Step 5: Solve for x
    x = 1,865,420.00/1,938.79
  6. Step 6: Final answer
    x = 962.16

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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.