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Finding the Fourth Proportional to 11,385.82, 15,713.76 and 6,670

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Solution

The fourth proportional to 11,385.82, 15,713.76 and 6,670 is: 9,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.82 : 15,713.76 = 6,670 : x
  2. Step 2: Convert to fraction form
    11,385.82/15,713.76 = 6,670/x
  3. Step 3: Cross multiply
    11,385.82x = 15,713.76 × 6,670
  4. Step 4: Simplify right side
    11,385.82x = 104,810,779.20
  5. Step 5: Solve for x
    x = 104,810,779.20/11,385.82
  6. Step 6: Final answer
    x = 9,205.38

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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.