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Finding the Fourth Proportional to 9,981.51, 14,969.70 and 2,959.88

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Solution

The fourth proportional to 9,981.51, 14,969.70 and 2,959.88 is: 4,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.51 : 14,969.70 = 2,959.88 : x
  2. Step 2: Convert to fraction form
    9,981.51/14,969.70 = 2,959.88/x
  3. Step 3: Cross multiply
    9,981.51x = 14,969.70 × 2,959.88
  4. Step 4: Simplify right side
    9,981.51x = 44,308,440.79
  5. Step 5: Solve for x
    x = 44,308,440.79/9,981.51
  6. Step 6: Final answer
    x = 4,439.05

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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.