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Finding the Fourth Proportional to 5,315.86, 7,973.82 and 1,853.14

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Solution

The fourth proportional to 5,315.86, 7,973.82 and 1,853.14 is: 2,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.86 : 7,973.82 = 1,853.14 : x
  2. Step 2: Convert to fraction form
    5,315.86/7,973.82 = 1,853.14/x
  3. Step 3: Cross multiply
    5,315.86x = 7,973.82 × 1,853.14
  4. Step 4: Simplify right side
    5,315.86x = 14,776,604.79
  5. Step 5: Solve for x
    x = 14,776,604.79/5,315.86
  6. Step 6: Final answer
    x = 2,779.72

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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.