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Finding the Fourth Proportional to 7,219.20, 10,828.80 and 7,142.40

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Solution

The fourth proportional to 7,219.20, 10,828.80 and 7,142.40 is: 10,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.20 : 10,828.80 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    7,219.20/10,828.80 = 7,142.40/x
  3. Step 3: Cross multiply
    7,219.20x = 10,828.80 × 7,142.40
  4. Step 4: Simplify right side
    7,219.20x = 77,343,621.12
  5. Step 5: Solve for x
    x = 77,343,621.12/7,219.20
  6. Step 6: Final answer
    x = 10,713.60

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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.