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Finding the Fourth Proportional to 1,982.16, 2,970.81 and 886.50

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Solution

The fourth proportional to 1,982.16, 2,970.81 and 886.50 is: 1,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.16 : 2,970.81 = 886.50 : x
  2. Step 2: Convert to fraction form
    1,982.16/2,970.81 = 886.50/x
  3. Step 3: Cross multiply
    1,982.16x = 2,970.81 × 886.50
  4. Step 4: Simplify right side
    1,982.16x = 2,633,623.07
  5. Step 5: Solve for x
    x = 2,633,623.07/1,982.16
  6. Step 6: Final answer
    x = 1,328.66

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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.