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Finding the Fourth Proportional to 15,569, 23,353.71 and 5,180.75

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Solution

The fourth proportional to 15,569, 23,353.71 and 5,180.75 is: 7,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569 : 23,353.71 = 5,180.75 : x
  2. Step 2: Convert to fraction form
    15,569/23,353.71 = 5,180.75/x
  3. Step 3: Cross multiply
    15,569x = 23,353.71 × 5,180.75
  4. Step 4: Simplify right side
    15,569x = 120,989,733.08
  5. Step 5: Solve for x
    x = 120,989,733.08/15,569
  6. Step 6: Final answer
    x = 7,771.19

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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.