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Finding the Fourth Proportional to 11,875, 17,812.50 and 4,949.50

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Solution

The fourth proportional to 11,875, 17,812.50 and 4,949.50 is: 7,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875 : 17,812.50 = 4,949.50 : x
  2. Step 2: Convert to fraction form
    11,875/17,812.50 = 4,949.50/x
  3. Step 3: Cross multiply
    11,875x = 17,812.50 × 4,949.50
  4. Step 4: Simplify right side
    11,875x = 88,162,968.75
  5. Step 5: Solve for x
    x = 88,162,968.75/11,875
  6. Step 6: Final answer
    x = 7,424.25

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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.