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Finding the Fourth Proportional to 30,641.88, 45,967.14 and 10,916.22

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Solution

The fourth proportional to 30,641.88, 45,967.14 and 10,916.22 is: 16,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.88 : 45,967.14 = 10,916.22 : x
  2. Step 2: Convert to fraction form
    30,641.88/45,967.14 = 10,916.22/x
  3. Step 3: Cross multiply
    30,641.88x = 45,967.14 × 10,916.22
  4. Step 4: Simplify right side
    30,641.88x = 501,787,413.01
  5. Step 5: Solve for x
    x = 501,787,413.01/30,641.88
  6. Step 6: Final answer
    x = 16,375.87

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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.