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Finding the Fourth Proportional to 11,779.80, 16,256.70 and 7,063.80

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Solution

The fourth proportional to 11,779.80, 16,256.70 and 7,063.80 is: 9,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.80 : 16,256.70 = 7,063.80 : x
  2. Step 2: Convert to fraction form
    11,779.80/16,256.70 = 7,063.80/x
  3. Step 3: Cross multiply
    11,779.80x = 16,256.70 × 7,063.80
  4. Step 4: Simplify right side
    11,779.80x = 114,834,077.46
  5. Step 5: Solve for x
    x = 114,834,077.46/11,779.80
  6. Step 6: Final answer
    x = 9,748.39

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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.