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Finding the Fourth Proportional to 7,020.40, 10,523.40 and 4,097.20

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Solution

The fourth proportional to 7,020.40, 10,523.40 and 4,097.20 is: 6,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.40 : 10,523.40 = 4,097.20 : x
  2. Step 2: Convert to fraction form
    7,020.40/10,523.40 = 4,097.20/x
  3. Step 3: Cross multiply
    7,020.40x = 10,523.40 × 4,097.20
  4. Step 4: Simplify right side
    7,020.40x = 43,116,474.48
  5. Step 5: Solve for x
    x = 43,116,474.48/7,020.40
  6. Step 6: Final answer
    x = 6,141.60

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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.