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Finding the Fourth Proportional to 12,460.86, 18,686.40 and 5,530.50

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Solution

The fourth proportional to 12,460.86, 18,686.40 and 5,530.50 is: 8,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.86 : 18,686.40 = 5,530.50 : x
  2. Step 2: Convert to fraction form
    12,460.86/18,686.40 = 5,530.50/x
  3. Step 3: Cross multiply
    12,460.86x = 18,686.40 × 5,530.50
  4. Step 4: Simplify right side
    12,460.86x = 103,345,135.20
  5. Step 5: Solve for x
    x = 103,345,135.20/12,460.86
  6. Step 6: Final answer
    x = 8,293.58

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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.