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Finding the Fourth Proportional to 10,875, 15,007.50 and 5,907

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Solution

The fourth proportional to 10,875, 15,007.50 and 5,907 is: 8,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875 : 15,007.50 = 5,907 : x
  2. Step 2: Convert to fraction form
    10,875/15,007.50 = 5,907/x
  3. Step 3: Cross multiply
    10,875x = 15,007.50 × 5,907
  4. Step 4: Simplify right side
    10,875x = 88,649,302.50
  5. Step 5: Solve for x
    x = 88,649,302.50/10,875
  6. Step 6: Final answer
    x = 8,151.66

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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.