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Finding the Fourth Proportional to 5,694, 7,857.72 and 3,210

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Solution

The fourth proportional to 5,694, 7,857.72 and 3,210 is: 4,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 7,857.72 = 3,210 : x
  2. Step 2: Convert to fraction form
    5,694/7,857.72 = 3,210/x
  3. Step 3: Cross multiply
    5,694x = 7,857.72 × 3,210
  4. Step 4: Simplify right side
    5,694x = 25,223,281.20
  5. Step 5: Solve for x
    x = 25,223,281.20/5,694
  6. Step 6: Final answer
    x = 4,429.80

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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.