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Finding the Fourth Proportional to 9,885, 14,827.50 and 2,959.50

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Solution

The fourth proportional to 9,885, 14,827.50 and 2,959.50 is: 4,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885 : 14,827.50 = 2,959.50 : x
  2. Step 2: Convert to fraction form
    9,885/14,827.50 = 2,959.50/x
  3. Step 3: Cross multiply
    9,885x = 14,827.50 × 2,959.50
  4. Step 4: Simplify right side
    9,885x = 43,881,986.25
  5. Step 5: Solve for x
    x = 43,881,986.25/9,885
  6. Step 6: Final answer
    x = 4,439.25

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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.