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Finding the Fourth Proportional to 11,594.15, 15,999.87 and 6,489.69

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Solution

The fourth proportional to 11,594.15, 15,999.87 and 6,489.69 is: 8,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.15 : 15,999.87 = 6,489.69 : x
  2. Step 2: Convert to fraction form
    11,594.15/15,999.87 = 6,489.69/x
  3. Step 3: Cross multiply
    11,594.15x = 15,999.87 × 6,489.69
  4. Step 4: Simplify right side
    11,594.15x = 103,834,196.34
  5. Step 5: Solve for x
    x = 103,834,196.34/11,594.15
  6. Step 6: Final answer
    x = 8,955.74

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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.