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Finding the Fourth Proportional to 13,460.40, 18,575.19 and 7,871.40

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Solution

The fourth proportional to 13,460.40, 18,575.19 and 7,871.40 is: 10,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.40 : 18,575.19 = 7,871.40 : x
  2. Step 2: Convert to fraction form
    13,460.40/18,575.19 = 7,871.40/x
  3. Step 3: Cross multiply
    13,460.40x = 18,575.19 × 7,871.40
  4. Step 4: Simplify right side
    13,460.40x = 146,212,750.57
  5. Step 5: Solve for x
    x = 146,212,750.57/13,460.40
  6. Step 6: Final answer
    x = 10,862.44

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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.