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Finding the Fourth Proportional to 11,582.88, 15,980.65 and 7,104.39

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Solution

The fourth proportional to 11,582.88, 15,980.65 and 7,104.39 is: 9,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.88 : 15,980.65 = 7,104.39 : x
  2. Step 2: Convert to fraction form
    11,582.88/15,980.65 = 7,104.39/x
  3. Step 3: Cross multiply
    11,582.88x = 15,980.65 × 7,104.39
  4. Step 4: Simplify right side
    11,582.88x = 113,532,770.05
  5. Step 5: Solve for x
    x = 113,532,770.05/11,582.88
  6. Step 6: Final answer
    x = 9,801.77

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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.