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Finding the Fourth Proportional to 15,569, 23,353.70 and 5,180.76

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Solution

The fourth proportional to 15,569, 23,353.70 and 5,180.76 is: 7,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569 : 23,353.70 = 5,180.76 : x
  2. Step 2: Convert to fraction form
    15,569/23,353.70 = 5,180.76/x
  3. Step 3: Cross multiply
    15,569x = 23,353.70 × 5,180.76
  4. Step 4: Simplify right side
    15,569x = 120,989,914.81
  5. Step 5: Solve for x
    x = 120,989,914.81/15,569
  6. Step 6: Final answer
    x = 7,771.21

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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.