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Finding the Fourth Proportional to 30,613.78, 45,916.35 and 9,834.58

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Solution

The fourth proportional to 30,613.78, 45,916.35 and 9,834.58 is: 14,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.78 : 45,916.35 = 9,834.58 : x
  2. Step 2: Convert to fraction form
    30,613.78/45,916.35 = 9,834.58/x
  3. Step 3: Cross multiply
    30,613.78x = 45,916.35 × 9,834.58
  4. Step 4: Simplify right side
    30,613.78x = 451,568,017.38
  5. Step 5: Solve for x
    x = 451,568,017.38/30,613.78
  6. Step 6: Final answer
    x = 14,750.48

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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.