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Finding the Fourth Proportional to 11,399.65, 15,746.34 and 8,779.30

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Solution

The fourth proportional to 11,399.65, 15,746.34 and 8,779.30 is: 12,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.65 : 15,746.34 = 8,779.30 : x
  2. Step 2: Convert to fraction form
    11,399.65/15,746.34 = 8,779.30/x
  3. Step 3: Cross multiply
    11,399.65x = 15,746.34 × 8,779.30
  4. Step 4: Simplify right side
    11,399.65x = 138,241,842.76
  5. Step 5: Solve for x
    x = 138,241,842.76/11,399.65
  6. Step 6: Final answer
    x = 12,126.85

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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.