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Finding the Fourth Proportional to 13,460.63, 18,575.66 and 7,871.63

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Solution

The fourth proportional to 13,460.63, 18,575.66 and 7,871.63 is: 10,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.63 : 18,575.66 = 7,871.63 : x
  2. Step 2: Convert to fraction form
    13,460.63/18,575.66 = 7,871.63/x
  3. Step 3: Cross multiply
    13,460.63x = 18,575.66 × 7,871.63
  4. Step 4: Simplify right side
    13,460.63x = 146,220,649.33
  5. Step 5: Solve for x
    x = 146,220,649.33/13,460.63
  6. Step 6: Final answer
    x = 10,862.84

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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.