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Finding the Fourth Proportional to 12,905.88, 17,808.96 and 7,871.58

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Solution

The fourth proportional to 12,905.88, 17,808.96 and 7,871.58 is: 10,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.88 : 17,808.96 = 7,871.58 : x
  2. Step 2: Convert to fraction form
    12,905.88/17,808.96 = 7,871.58/x
  3. Step 3: Cross multiply
    12,905.88x = 17,808.96 × 7,871.58
  4. Step 4: Simplify right side
    12,905.88x = 140,184,653.36
  5. Step 5: Solve for x
    x = 140,184,653.36/12,905.88
  6. Step 6: Final answer
    x = 10,862.08

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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.