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Finding the Fourth Proportional to 1,842.18, 2,762.85 and 525.91

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Solution

The fourth proportional to 1,842.18, 2,762.85 and 525.91 is: 788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.18 : 2,762.85 = 525.91 : x
  2. Step 2: Convert to fraction form
    1,842.18/2,762.85 = 525.91/x
  3. Step 3: Cross multiply
    1,842.18x = 2,762.85 × 525.91
  4. Step 4: Simplify right side
    1,842.18x = 1,453,016.15
  5. Step 5: Solve for x
    x = 1,453,016.15/1,842.18
  6. Step 6: Final answer
    x = 788.75

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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.