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Finding the Fourth Proportional to 28,182.25, 42,279.86 and 9,714.25

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Solution

The fourth proportional to 28,182.25, 42,279.86 and 9,714.25 is: 14,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.25 : 42,279.86 = 9,714.25 : x
  2. Step 2: Convert to fraction form
    28,182.25/42,279.86 = 9,714.25/x
  3. Step 3: Cross multiply
    28,182.25x = 42,279.86 × 9,714.25
  4. Step 4: Simplify right side
    28,182.25x = 410,717,130.01
  5. Step 5: Solve for x
    x = 410,717,130.01/28,182.25
  6. Step 6: Final answer
    x = 14,573.61

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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.