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Finding the Fourth Proportional to 12,874.88, 17,768.39 and 7,210.93

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Solution

The fourth proportional to 12,874.88, 17,768.39 and 7,210.93 is: 9,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.88 : 17,768.39 = 7,210.93 : x
  2. Step 2: Convert to fraction form
    12,874.88/17,768.39 = 7,210.93/x
  3. Step 3: Cross multiply
    12,874.88x = 17,768.39 × 7,210.93
  4. Step 4: Simplify right side
    12,874.88x = 128,126,590.11
  5. Step 5: Solve for x
    x = 128,126,590.11/12,874.88
  6. Step 6: Final answer
    x = 9,951.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.