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Finding the Fourth Proportional to 10,038.76, 13,821.80 and 8,843

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Solution

The fourth proportional to 10,038.76, 13,821.80 and 8,843 is: 12,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.76 : 13,821.80 = 8,843 : x
  2. Step 2: Convert to fraction form
    10,038.76/13,821.80 = 8,843/x
  3. Step 3: Cross multiply
    10,038.76x = 13,821.80 × 8,843
  4. Step 4: Simplify right side
    10,038.76x = 122,226,177.40
  5. Step 5: Solve for x
    x = 122,226,177.40/10,038.76
  6. Step 6: Final answer
    x = 12,175.43

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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.