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Finding the Fourth Proportional to 8,434, 11,643.24 and 5,293.36

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Solution

The fourth proportional to 8,434, 11,643.24 and 5,293.36 is: 7,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 11,643.24 = 5,293.36 : x
  2. Step 2: Convert to fraction form
    8,434/11,643.24 = 5,293.36/x
  3. Step 3: Cross multiply
    8,434x = 11,643.24 × 5,293.36
  4. Step 4: Simplify right side
    8,434x = 61,631,860.89
  5. Step 5: Solve for x
    x = 61,631,860.89/8,434
  6. Step 6: Final answer
    x = 7,307.55

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Why These Related Problems?

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