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Finding the Fourth Proportional to 11,657.79, 17,486.80 and 9,332.57

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Solution

The fourth proportional to 11,657.79, 17,486.80 and 9,332.57 is: 13,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.79 : 17,486.80 = 9,332.57 : x
  2. Step 2: Convert to fraction form
    11,657.79/17,486.80 = 9,332.57/x
  3. Step 3: Cross multiply
    11,657.79x = 17,486.80 × 9,332.57
  4. Step 4: Simplify right side
    11,657.79x = 163,196,785.08
  5. Step 5: Solve for x
    x = 163,196,785.08/11,657.79
  6. Step 6: Final answer
    x = 13,998.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.