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Finding the Fourth Proportional to 28,030.80, 42,046 and 8,309.44

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Solution

The fourth proportional to 28,030.80, 42,046 and 8,309.44 is: 12,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,030.80 : 42,046 = 8,309.44 : x
  2. Step 2: Convert to fraction form
    28,030.80/42,046 = 8,309.44/x
  3. Step 3: Cross multiply
    28,030.80x = 42,046 × 8,309.44
  4. Step 4: Simplify right side
    28,030.80x = 349,378,714.24
  5. Step 5: Solve for x
    x = 349,378,714.24/28,030.80
  6. Step 6: Final answer
    x = 12,464.10

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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.