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Finding the Fourth Proportional to 11,478.16, 17,212.92 and 9,041.68

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Solution

The fourth proportional to 11,478.16, 17,212.92 and 9,041.68 is: 13,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.16 : 17,212.92 = 9,041.68 : x
  2. Step 2: Convert to fraction form
    11,478.16/17,212.92 = 9,041.68/x
  3. Step 3: Cross multiply
    11,478.16x = 17,212.92 × 9,041.68
  4. Step 4: Simplify right side
    11,478.16x = 155,633,714.51
  5. Step 5: Solve for x
    x = 155,633,714.51/11,478.16
  6. Step 6: Final answer
    x = 13,559.12

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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.