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Finding the Fourth Proportional to 5,259.65, 7,890.93 and 1,561.79

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Solution

The fourth proportional to 5,259.65, 7,890.93 and 1,561.79 is: 2,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.65 : 7,890.93 = 1,561.79 : x
  2. Step 2: Convert to fraction form
    5,259.65/7,890.93 = 1,561.79/x
  3. Step 3: Cross multiply
    5,259.65x = 7,890.93 × 1,561.79
  4. Step 4: Simplify right side
    5,259.65x = 12,323,936.11
  5. Step 5: Solve for x
    x = 12,323,936.11/5,259.65
  6. Step 6: Final answer
    x = 2,343.11

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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.