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Finding the Fourth Proportional to 9,889.38, 14,834.07 and 5,782.50

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Solution

The fourth proportional to 9,889.38, 14,834.07 and 5,782.50 is: 8,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.38 : 14,834.07 = 5,782.50 : x
  2. Step 2: Convert to fraction form
    9,889.38/14,834.07 = 5,782.50/x
  3. Step 3: Cross multiply
    9,889.38x = 14,834.07 × 5,782.50
  4. Step 4: Simplify right side
    9,889.38x = 85,778,009.78
  5. Step 5: Solve for x
    x = 85,778,009.78/9,889.38
  6. Step 6: Final answer
    x = 8,673.75

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Similar ratio
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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.