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Finding the Fourth Proportional to 12,585.87, 17,375.18 and 7,871.67

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Solution

The fourth proportional to 12,585.87, 17,375.18 and 7,871.67 is: 10,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.87 : 17,375.18 = 7,871.67 : x
  2. Step 2: Convert to fraction form
    12,585.87/17,375.18 = 7,871.67/x
  3. Step 3: Cross multiply
    12,585.87x = 17,375.18 × 7,871.67
  4. Step 4: Simplify right side
    12,585.87x = 136,771,643.79
  5. Step 5: Solve for x
    x = 136,771,643.79/12,585.87
  6. Step 6: Final answer
    x = 10,867.08

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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.