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Finding the Fourth Proportional to 9,291, 12,822.03 and 5,513.34

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Solution

The fourth proportional to 9,291, 12,822.03 and 5,513.34 is: 7,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 12,822.03 = 5,513.34 : x
  2. Step 2: Convert to fraction form
    9,291/12,822.03 = 5,513.34/x
  3. Step 3: Cross multiply
    9,291x = 12,822.03 × 5,513.34
  4. Step 4: Simplify right side
    9,291x = 70,692,210.88
  5. Step 5: Solve for x
    x = 70,692,210.88/9,291
  6. Step 6: Final answer
    x = 7,608.68

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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.