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Finding the Fourth Proportional to 7,224.50, 9,969.90 and 4,240.40

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Solution

The fourth proportional to 7,224.50, 9,969.90 and 4,240.40 is: 5,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.50 : 9,969.90 = 4,240.40 : x
  2. Step 2: Convert to fraction form
    7,224.50/9,969.90 = 4,240.40/x
  3. Step 3: Cross multiply
    7,224.50x = 9,969.90 × 4,240.40
  4. Step 4: Simplify right side
    7,224.50x = 42,276,363.96
  5. Step 5: Solve for x
    x = 42,276,363.96/7,224.50
  6. Step 6: Final answer
    x = 5,851.80

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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.