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Finding the Fourth Proportional to 5,681.63, 7,840.65 and 3,197.63

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Solution

The fourth proportional to 5,681.63, 7,840.65 and 3,197.63 is: 4,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.63 : 7,840.65 = 3,197.63 : x
  2. Step 2: Convert to fraction form
    5,681.63/7,840.65 = 3,197.63/x
  3. Step 3: Cross multiply
    5,681.63x = 7,840.65 × 3,197.63
  4. Step 4: Simplify right side
    5,681.63x = 25,071,458.46
  5. Step 5: Solve for x
    x = 25,071,458.46/5,681.63
  6. Step 6: Final answer
    x = 4,412.73

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Half scale
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1.5x scale

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.