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Finding the Fourth Proportional to 12,703.12, 19,083.92 and 9,014.48

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Solution

The fourth proportional to 12,703.12, 19,083.92 and 9,014.48 is: 13,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.12 : 19,083.92 = 9,014.48 : x
  2. Step 2: Convert to fraction form
    12,703.12/19,083.92 = 9,014.48/x
  3. Step 3: Cross multiply
    12,703.12x = 19,083.92 × 9,014.48
  4. Step 4: Simplify right side
    12,703.12x = 172,031,615.16
  5. Step 5: Solve for x
    x = 172,031,615.16/12,703.12
  6. Step 6: Final answer
    x = 13,542.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.