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Finding the Fourth Proportional to 14,578, 21,868.62 and 4,716.88

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Solution

The fourth proportional to 14,578, 21,868.62 and 4,716.88 is: 7,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578 : 21,868.62 = 4,716.88 : x
  2. Step 2: Convert to fraction form
    14,578/21,868.62 = 4,716.88/x
  3. Step 3: Cross multiply
    14,578x = 21,868.62 × 4,716.88
  4. Step 4: Simplify right side
    14,578x = 103,151,656.31
  5. Step 5: Solve for x
    x = 103,151,656.31/14,578
  6. Step 6: Final answer
    x = 7,075.84

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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.