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Finding the Fourth Proportional to 1,885.74, 2,827.53 and 652.82

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Solution

The fourth proportional to 1,885.74, 2,827.53 and 652.82 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.74 : 2,827.53 = 652.82 : x
  2. Step 2: Convert to fraction form
    1,885.74/2,827.53 = 652.82/x
  3. Step 3: Cross multiply
    1,885.74x = 2,827.53 × 652.82
  4. Step 4: Simplify right side
    1,885.74x = 1,845,854.00
  5. Step 5: Solve for x
    x = 1,845,854.00/1,885.74
  6. Step 6: Final answer
    x = 978.85

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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.