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Finding the Fourth Proportional to 8,274.96, 12,345.75 and 7,972.43

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Solution

The fourth proportional to 8,274.96, 12,345.75 and 7,972.43 is: 11,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.96 : 12,345.75 = 7,972.43 : x
  2. Step 2: Convert to fraction form
    8,274.96/12,345.75 = 7,972.43/x
  3. Step 3: Cross multiply
    8,274.96x = 12,345.75 × 7,972.43
  4. Step 4: Simplify right side
    8,274.96x = 98,425,565.94
  5. Step 5: Solve for x
    x = 98,425,565.94/8,274.96
  6. Step 6: Final answer
    x = 11,894.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.