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Finding the Fourth Proportional to 6,886.74, 10,355.02 and 6,345.46

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Solution

The fourth proportional to 6,886.74, 10,355.02 and 6,345.46 is: 9,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.74 : 10,355.02 = 6,345.46 : x
  2. Step 2: Convert to fraction form
    6,886.74/10,355.02 = 6,345.46/x
  3. Step 3: Cross multiply
    6,886.74x = 10,355.02 × 6,345.46
  4. Step 4: Simplify right side
    6,886.74x = 65,707,365.21
  5. Step 5: Solve for x
    x = 65,707,365.21/6,886.74
  6. Step 6: Final answer
    x = 9,541.14

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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.