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Finding the Fourth Proportional to 5,854.72, 8,075.82 and 4,085.68

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Solution

The fourth proportional to 5,854.72, 8,075.82 and 4,085.68 is: 5,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.72 : 8,075.82 = 4,085.68 : x
  2. Step 2: Convert to fraction form
    5,854.72/8,075.82 = 4,085.68/x
  3. Step 3: Cross multiply
    5,854.72x = 8,075.82 × 4,085.68
  4. Step 4: Simplify right side
    5,854.72x = 32,995,216.26
  5. Step 5: Solve for x
    x = 32,995,216.26/5,854.72
  6. Step 6: Final answer
    x = 5,635.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.