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Finding the Fourth Proportional to 11,547.92, 15,934.97 and 7,072.94

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Solution

The fourth proportional to 11,547.92, 15,934.97 and 7,072.94 is: 9,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.92 : 15,934.97 = 7,072.94 : x
  2. Step 2: Convert to fraction form
    11,547.92/15,934.97 = 7,072.94/x
  3. Step 3: Cross multiply
    11,547.92x = 15,934.97 × 7,072.94
  4. Step 4: Simplify right side
    11,547.92x = 112,706,971.67
  5. Step 5: Solve for x
    x = 112,706,971.67/11,547.92
  6. Step 6: Final answer
    x = 9,759.94

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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.