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Finding the Fourth Proportional to 11,162.81, 15,404.68 and 6,971.06

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Solution

The fourth proportional to 11,162.81, 15,404.68 and 6,971.06 is: 9,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.81 : 15,404.68 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    11,162.81/15,404.68 = 6,971.06/x
  3. Step 3: Cross multiply
    11,162.81x = 15,404.68 × 6,971.06
  4. Step 4: Simplify right side
    11,162.81x = 107,386,995.79
  5. Step 5: Solve for x
    x = 107,386,995.79/11,162.81
  6. Step 6: Final answer
    x = 9,620.07

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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.