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Finding the Fourth Proportional to 4,747.76, 7,121.61 and 1,285.01

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Solution

The fourth proportional to 4,747.76, 7,121.61 and 1,285.01 is: 1,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.76 : 7,121.61 = 1,285.01 : x
  2. Step 2: Convert to fraction form
    4,747.76/7,121.61 = 1,285.01/x
  3. Step 3: Cross multiply
    4,747.76x = 7,121.61 × 1,285.01
  4. Step 4: Simplify right side
    4,747.76x = 9,151,304.46
  5. Step 5: Solve for x
    x = 9,151,304.46/4,747.76
  6. Step 6: Final answer
    x = 1,927.50

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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.