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Finding the Fourth Proportional to 10,916.78, 15,064.71 and 6,674.98

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Solution

The fourth proportional to 10,916.78, 15,064.71 and 6,674.98 is: 9,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.78 : 15,064.71 = 6,674.98 : x
  2. Step 2: Convert to fraction form
    10,916.78/15,064.71 = 6,674.98/x
  3. Step 3: Cross multiply
    10,916.78x = 15,064.71 × 6,674.98
  4. Step 4: Simplify right side
    10,916.78x = 100,556,664.65
  5. Step 5: Solve for x
    x = 100,556,664.65/10,916.78
  6. Step 6: Final answer
    x = 9,211.21

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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.