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Finding the Fourth Proportional to 10,423.92, 14,299.35 and 9,859

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Solution

The fourth proportional to 10,423.92, 14,299.35 and 9,859 is: 13,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.92 : 14,299.35 = 9,859 : x
  2. Step 2: Convert to fraction form
    10,423.92/14,299.35 = 9,859/x
  3. Step 3: Cross multiply
    10,423.92x = 14,299.35 × 9,859
  4. Step 4: Simplify right side
    10,423.92x = 140,977,291.65
  5. Step 5: Solve for x
    x = 140,977,291.65/10,423.92
  6. Step 6: Final answer
    x = 13,524.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.