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Finding the Fourth Proportional to 5,341, 8,012.53 and 1,642.57

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Solution

The fourth proportional to 5,341, 8,012.53 and 1,642.57 is: 2,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341 : 8,012.53 = 1,642.57 : x
  2. Step 2: Convert to fraction form
    5,341/8,012.53 = 1,642.57/x
  3. Step 3: Cross multiply
    5,341x = 8,012.53 × 1,642.57
  4. Step 4: Simplify right side
    5,341x = 13,161,141.40
  5. Step 5: Solve for x
    x = 13,161,141.40/5,341
  6. Step 6: Final answer
    x = 2,464.17

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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.