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Finding the Fourth Proportional to 7.40, 10.20 and 6.19

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Solution

The fourth proportional to 7.40, 10.20 and 6.19 is: 8.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.40 : 10.20 = 6.19 : x
  2. Step 2: Convert to fraction form
    7.40/10.20 = 6.19/x
  3. Step 3: Cross multiply
    7.40x = 10.20 × 6.19
  4. Step 4: Simplify right side
    7.40x = 63.11
  5. Step 5: Solve for x
    x = 63.11/7.40
  6. Step 6: Final answer
    x = 8.53

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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.