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Finding the Fourth Proportional to 6,500.88, 9,754.20 and 4,747.50

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Solution

The fourth proportional to 6,500.88, 9,754.20 and 4,747.50 is: 7,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.88 : 9,754.20 = 4,747.50 : x
  2. Step 2: Convert to fraction form
    6,500.88/9,754.20 = 4,747.50/x
  3. Step 3: Cross multiply
    6,500.88x = 9,754.20 × 4,747.50
  4. Step 4: Simplify right side
    6,500.88x = 46,308,064.50
  5. Step 5: Solve for x
    x = 46,308,064.50/6,500.88
  6. Step 6: Final answer
    x = 7,123.35

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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.