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Finding the Fourth Proportional to 5,630, 7,771.23 and 3,534.13

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Solution

The fourth proportional to 5,630, 7,771.23 and 3,534.13 is: 4,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630 : 7,771.23 = 3,534.13 : x
  2. Step 2: Convert to fraction form
    5,630/7,771.23 = 3,534.13/x
  3. Step 3: Cross multiply
    5,630x = 7,771.23 × 3,534.13
  4. Step 4: Simplify right side
    5,630x = 27,464,480.55
  5. Step 5: Solve for x
    x = 27,464,480.55/5,630
  6. Step 6: Final answer
    x = 4,878.24

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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.