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Finding the Fourth Proportional to 1,911.98, 2,866.29 and 987.07

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Solution

The fourth proportional to 1,911.98, 2,866.29 and 987.07 is: 1,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.98 : 2,866.29 = 987.07 : x
  2. Step 2: Convert to fraction form
    1,911.98/2,866.29 = 987.07/x
  3. Step 3: Cross multiply
    1,911.98x = 2,866.29 × 987.07
  4. Step 4: Simplify right side
    1,911.98x = 2,829,228.87
  5. Step 5: Solve for x
    x = 2,829,228.87/1,911.98
  6. Step 6: Final answer
    x = 1,479.74

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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.