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Finding the Fourth Proportional to 1,461.28, 2,182.28 and 1,300

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Solution

The fourth proportional to 1,461.28, 2,182.28 and 1,300 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.28 : 2,182.28 = 1,300 : x
  2. Step 2: Convert to fraction form
    1,461.28/2,182.28 = 1,300/x
  3. Step 3: Cross multiply
    1,461.28x = 2,182.28 × 1,300
  4. Step 4: Simplify right side
    1,461.28x = 2,836,964.00
  5. Step 5: Solve for x
    x = 2,836,964.00/1,461.28
  6. Step 6: Final answer
    x = 1,941.42

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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.