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Finding the Fourth Proportional to 8,266.42, 11,411.49 and 5,437.90

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Solution

The fourth proportional to 8,266.42, 11,411.49 and 5,437.90 is: 7,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.42 : 11,411.49 = 5,437.90 : x
  2. Step 2: Convert to fraction form
    8,266.42/11,411.49 = 5,437.90/x
  3. Step 3: Cross multiply
    8,266.42x = 11,411.49 × 5,437.90
  4. Step 4: Simplify right side
    8,266.42x = 62,054,541.47
  5. Step 5: Solve for x
    x = 62,054,541.47/8,266.42
  6. Step 6: Final answer
    x = 7,506.82

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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.