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Finding the Fourth Proportional to 6,854.19, 9,458.13 and 3,829.20

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Solution

The fourth proportional to 6,854.19, 9,458.13 and 3,829.20 is: 5,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.19 : 9,458.13 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    6,854.19/9,458.13 = 3,829.20/x
  3. Step 3: Cross multiply
    6,854.19x = 9,458.13 × 3,829.20
  4. Step 4: Simplify right side
    6,854.19x = 36,217,071.40
  5. Step 5: Solve for x
    x = 36,217,071.40/6,854.19
  6. Step 6: Final answer
    x = 5,283.93

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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.