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Finding the Fourth Proportional to 7,189.72, 10,784.54 and 5,731.72

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Solution

The fourth proportional to 7,189.72, 10,784.54 and 5,731.72 is: 8,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.72 : 10,784.54 = 5,731.72 : x
  2. Step 2: Convert to fraction form
    7,189.72/10,784.54 = 5,731.72/x
  3. Step 3: Cross multiply
    7,189.72x = 10,784.54 × 5,731.72
  4. Step 4: Simplify right side
    7,189.72x = 61,813,963.61
  5. Step 5: Solve for x
    x = 61,813,963.61/7,189.72
  6. Step 6: Final answer
    x = 8,597.55

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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.