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Finding the Fourth Proportional to 9,532.98, 13,155.50 and 5,806.98

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Solution

The fourth proportional to 9,532.98, 13,155.50 and 5,806.98 is: 8,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 13,155.50 = 5,806.98 : x
  2. Step 2: Convert to fraction form
    9,532.98/13,155.50 = 5,806.98/x
  3. Step 3: Cross multiply
    9,532.98x = 13,155.50 × 5,806.98
  4. Step 4: Simplify right side
    9,532.98x = 76,393,739.91
  5. Step 5: Solve for x
    x = 76,393,739.91/9,532.98
  6. Step 6: Final answer
    x = 8,013.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.