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Finding the Fourth Proportional to 6,210, 8,569.80 and 3,726

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Solution

The fourth proportional to 6,210, 8,569.80 and 3,726 is: 5,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210 : 8,569.80 = 3,726 : x
  2. Step 2: Convert to fraction form
    6,210/8,569.80 = 3,726/x
  3. Step 3: Cross multiply
    6,210x = 8,569.80 × 3,726
  4. Step 4: Simplify right side
    6,210x = 31,931,074.80
  5. Step 5: Solve for x
    x = 31,931,074.80/6,210
  6. Step 6: Final answer
    x = 5,141.88

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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.