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Finding the Fourth Proportional to 5,315.91, 7,973.73 and 1,617.99

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Solution

The fourth proportional to 5,315.91, 7,973.73 and 1,617.99 is: 2,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.91 : 7,973.73 = 1,617.99 : x
  2. Step 2: Convert to fraction form
    5,315.91/7,973.73 = 1,617.99/x
  3. Step 3: Cross multiply
    5,315.91x = 7,973.73 × 1,617.99
  4. Step 4: Simplify right side
    5,315.91x = 12,901,415.40
  5. Step 5: Solve for x
    x = 12,901,415.40/5,315.91
  6. Step 6: Final answer
    x = 2,426.94

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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.