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Finding the Fourth Proportional to 9,721, 13,417.41 and 5,531.68

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Solution

The fourth proportional to 9,721, 13,417.41 and 5,531.68 is: 7,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721 : 13,417.41 = 5,531.68 : x
  2. Step 2: Convert to fraction form
    9,721/13,417.41 = 5,531.68/x
  3. Step 3: Cross multiply
    9,721x = 13,417.41 × 5,531.68
  4. Step 4: Simplify right side
    9,721x = 74,220,818.55
  5. Step 5: Solve for x
    x = 74,220,818.55/9,721
  6. Step 6: Final answer
    x = 7,635.10

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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.