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Finding the Fourth Proportional to 1,426.42, 1,966.47 and 954.40

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Solution

The fourth proportional to 1,426.42, 1,966.47 and 954.40 is: 1,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.42 : 1,966.47 = 954.40 : x
  2. Step 2: Convert to fraction form
    1,426.42/1,966.47 = 954.40/x
  3. Step 3: Cross multiply
    1,426.42x = 1,966.47 × 954.40
  4. Step 4: Simplify right side
    1,426.42x = 1,876,798.97
  5. Step 5: Solve for x
    x = 1,876,798.97/1,426.42
  6. Step 6: Final answer
    x = 1,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.