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Finding the Fourth Proportional to 6,981.78, 9,637.34 and 4,624.68

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Solution

The fourth proportional to 6,981.78, 9,637.34 and 4,624.68 is: 6,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.78 : 9,637.34 = 4,624.68 : x
  2. Step 2: Convert to fraction form
    6,981.78/9,637.34 = 4,624.68/x
  3. Step 3: Cross multiply
    6,981.78x = 9,637.34 × 4,624.68
  4. Step 4: Simplify right side
    6,981.78x = 44,569,613.55
  5. Step 5: Solve for x
    x = 44,569,613.55/6,981.78
  6. Step 6: Final answer
    x = 6,383.70

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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.