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Finding the Fourth Proportional to 1,885.68, 2,827.71 and 1,007.99

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Solution

The fourth proportional to 1,885.68, 2,827.71 and 1,007.99 is: 1,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.68 : 2,827.71 = 1,007.99 : x
  2. Step 2: Convert to fraction form
    1,885.68/2,827.71 = 1,007.99/x
  3. Step 3: Cross multiply
    1,885.68x = 2,827.71 × 1,007.99
  4. Step 4: Simplify right side
    1,885.68x = 2,850,303.40
  5. Step 5: Solve for x
    x = 2,850,303.40/1,885.68
  6. Step 6: Final answer
    x = 1,511.55

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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.