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Finding the Fourth Proportional to 14,263.78, 19,676.10 and 8,294.78

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Solution

The fourth proportional to 14,263.78, 19,676.10 and 8,294.78 is: 11,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.78 : 19,676.10 = 8,294.78 : x
  2. Step 2: Convert to fraction form
    14,263.78/19,676.10 = 8,294.78/x
  3. Step 3: Cross multiply
    14,263.78x = 19,676.10 × 8,294.78
  4. Step 4: Simplify right side
    14,263.78x = 163,208,920.76
  5. Step 5: Solve for x
    x = 163,208,920.76/14,263.78
  6. Step 6: Final answer
    x = 11,442.19

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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.