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Finding the Fourth Proportional to 10,222.80, 15,337.80 and 5,025.20

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Solution

The fourth proportional to 10,222.80, 15,337.80 and 5,025.20 is: 7,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.80 : 15,337.80 = 5,025.20 : x
  2. Step 2: Convert to fraction form
    10,222.80/15,337.80 = 5,025.20/x
  3. Step 3: Cross multiply
    10,222.80x = 15,337.80 × 5,025.20
  4. Step 4: Simplify right side
    10,222.80x = 77,075,512.56
  5. Step 5: Solve for x
    x = 77,075,512.56/10,222.80
  6. Step 6: Final answer
    x = 7,539.57

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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.