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Finding the Fourth Proportional to 5,291.86, 7,938.81 and 3,075.47

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Solution

The fourth proportional to 5,291.86, 7,938.81 and 3,075.47 is: 4,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.86 : 7,938.81 = 3,075.47 : x
  2. Step 2: Convert to fraction form
    5,291.86/7,938.81 = 3,075.47/x
  3. Step 3: Cross multiply
    5,291.86x = 7,938.81 × 3,075.47
  4. Step 4: Simplify right side
    5,291.86x = 24,415,562.07
  5. Step 5: Solve for x
    x = 24,415,562.07/5,291.86
  6. Step 6: Final answer
    x = 4,613.80

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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.