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Finding the Fourth Proportional to 6,920.40, 10,364.40 and 6,781.20

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Solution

The fourth proportional to 6,920.40, 10,364.40 and 6,781.20 is: 10,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.40 : 10,364.40 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    6,920.40/10,364.40 = 6,781.20/x
  3. Step 3: Cross multiply
    6,920.40x = 10,364.40 × 6,781.20
  4. Step 4: Simplify right side
    6,920.40x = 70,283,069.28
  5. Step 5: Solve for x
    x = 70,283,069.28/6,920.40
  6. Step 6: Final answer
    x = 10,155.93

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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.