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Finding the Fourth Proportional to 12,374.90, 17,074.78 and 7,895.80

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Solution

The fourth proportional to 12,374.90, 17,074.78 and 7,895.80 is: 10,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.90 : 17,074.78 = 7,895.80 : x
  2. Step 2: Convert to fraction form
    12,374.90/17,074.78 = 7,895.80/x
  3. Step 3: Cross multiply
    12,374.90x = 17,074.78 × 7,895.80
  4. Step 4: Simplify right side
    12,374.90x = 134,819,047.92
  5. Step 5: Solve for x
    x = 134,819,047.92/12,374.90
  6. Step 6: Final answer
    x = 10,894.56

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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.