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Finding the Fourth Proportional to 4,751.72, 7,127.04 and 1,288.76

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Solution

The fourth proportional to 4,751.72, 7,127.04 and 1,288.76 is: 1,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.72 : 7,127.04 = 1,288.76 : x
  2. Step 2: Convert to fraction form
    4,751.72/7,127.04 = 1,288.76/x
  3. Step 3: Cross multiply
    4,751.72x = 7,127.04 × 1,288.76
  4. Step 4: Simplify right side
    4,751.72x = 9,185,044.07
  5. Step 5: Solve for x
    x = 9,185,044.07/4,751.72
  6. Step 6: Final answer
    x = 1,932.99

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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.