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Finding the Fourth Proportional to 5,614, 7,747.50 and 3,130

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Solution

The fourth proportional to 5,614, 7,747.50 and 3,130 is: 4,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 7,747.50 = 3,130 : x
  2. Step 2: Convert to fraction form
    5,614/7,747.50 = 3,130/x
  3. Step 3: Cross multiply
    5,614x = 7,747.50 × 3,130
  4. Step 4: Simplify right side
    5,614x = 24,249,675
  5. Step 5: Solve for x
    x = 24,249,675/5,614
  6. Step 6: Final answer
    x = 4,319.50

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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.