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Finding the Fourth Proportional to 2,871.68, 4,307.87 and 1,022.99

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Solution

The fourth proportional to 2,871.68, 4,307.87 and 1,022.99 is: 1,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.68 : 4,307.87 = 1,022.99 : x
  2. Step 2: Convert to fraction form
    2,871.68/4,307.87 = 1,022.99/x
  3. Step 3: Cross multiply
    2,871.68x = 4,307.87 × 1,022.99
  4. Step 4: Simplify right side
    2,871.68x = 4,406,881.28
  5. Step 5: Solve for x
    x = 4,406,881.28/2,871.68
  6. Step 6: Final answer
    x = 1,534.60

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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.