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Finding the Fourth Proportional to 9,412, 12,988.62 and 5,220.26

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Solution

The fourth proportional to 9,412, 12,988.62 and 5,220.26 is: 7,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412 : 12,988.62 = 5,220.26 : x
  2. Step 2: Convert to fraction form
    9,412/12,988.62 = 5,220.26/x
  3. Step 3: Cross multiply
    9,412x = 12,988.62 × 5,220.26
  4. Step 4: Simplify right side
    9,412x = 67,803,973.44
  5. Step 5: Solve for x
    x = 67,803,973.44/9,412
  6. Step 6: Final answer
    x = 7,203.99

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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.