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Finding the Fourth Proportional to 1,966.74, 2,926.89 and 1,901.13

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Solution

The fourth proportional to 1,966.74, 2,926.89 and 1,901.13 is: 2,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.74 : 2,926.89 = 1,901.13 : x
  2. Step 2: Convert to fraction form
    1,966.74/2,926.89 = 1,901.13/x
  3. Step 3: Cross multiply
    1,966.74x = 2,926.89 × 1,901.13
  4. Step 4: Simplify right side
    1,966.74x = 5,564,398.39
  5. Step 5: Solve for x
    x = 5,564,398.39/1,966.74
  6. Step 6: Final answer
    x = 2,829.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.