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Finding the Fourth Proportional to 12,405.86, 18,587.12 and 10,339.14

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Solution

The fourth proportional to 12,405.86, 18,587.12 and 10,339.14 is: 15,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.86 : 18,587.12 = 10,339.14 : x
  2. Step 2: Convert to fraction form
    12,405.86/18,587.12 = 10,339.14/x
  3. Step 3: Cross multiply
    12,405.86x = 18,587.12 × 10,339.14
  4. Step 4: Simplify right side
    12,405.86x = 192,174,835.88
  5. Step 5: Solve for x
    x = 192,174,835.88/12,405.86
  6. Step 6: Final answer
    x = 15,490.65

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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.