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Finding the Fourth Proportional to 1,287.84, 1,927.92 and 962.40

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Solution

The fourth proportional to 1,287.84, 1,927.92 and 962.40 is: 1,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.84 : 1,927.92 = 962.40 : x
  2. Step 2: Convert to fraction form
    1,287.84/1,927.92 = 962.40/x
  3. Step 3: Cross multiply
    1,287.84x = 1,927.92 × 962.40
  4. Step 4: Simplify right side
    1,287.84x = 1,855,430.21
  5. Step 5: Solve for x
    x = 1,855,430.21/1,287.84
  6. Step 6: Final answer
    x = 1,440.73

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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.