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Finding the Fourth Proportional to 8,578, 12,888.51 and 5,459.35

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Solution

The fourth proportional to 8,578, 12,888.51 and 5,459.35 is: 8,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578 : 12,888.51 = 5,459.35 : x
  2. Step 2: Convert to fraction form
    8,578/12,888.51 = 5,459.35/x
  3. Step 3: Cross multiply
    8,578x = 12,888.51 × 5,459.35
  4. Step 4: Simplify right side
    8,578x = 70,362,887.07
  5. Step 5: Solve for x
    x = 70,362,887.07/8,578
  6. Step 6: Final answer
    x = 8,202.71

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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.