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Finding the Fourth Proportional to 9,410.78, 12,993 and 6,425.53

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Solution

The fourth proportional to 9,410.78, 12,993 and 6,425.53 is: 8,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.78 : 12,993 = 6,425.53 : x
  2. Step 2: Convert to fraction form
    9,410.78/12,993 = 6,425.53/x
  3. Step 3: Cross multiply
    9,410.78x = 12,993 × 6,425.53
  4. Step 4: Simplify right side
    9,410.78x = 83,486,911.29
  5. Step 5: Solve for x
    x = 83,486,911.29/9,410.78
  6. Step 6: Final answer
    x = 8,871.41

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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.