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Finding the Fourth Proportional to 11,491.51, 15,864.34 and 7,734.43

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Solution

The fourth proportional to 11,491.51, 15,864.34 and 7,734.43 is: 10,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.51 : 15,864.34 = 7,734.43 : x
  2. Step 2: Convert to fraction form
    11,491.51/15,864.34 = 7,734.43/x
  3. Step 3: Cross multiply
    11,491.51x = 15,864.34 × 7,734.43
  4. Step 4: Simplify right side
    11,491.51x = 122,701,547.90
  5. Step 5: Solve for x
    x = 122,701,547.90/11,491.51
  6. Step 6: Final answer
    x = 10,677.58

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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.