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Finding the Fourth Proportional to 9,913, 13,679.96 and 5,721.52

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Solution

The fourth proportional to 9,913, 13,679.96 and 5,721.52 is: 7,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913 : 13,679.96 = 5,721.52 : x
  2. Step 2: Convert to fraction form
    9,913/13,679.96 = 5,721.52/x
  3. Step 3: Cross multiply
    9,913x = 13,679.96 × 5,721.52
  4. Step 4: Simplify right side
    9,913x = 78,270,164.74
  5. Step 5: Solve for x
    x = 78,270,164.74/9,913
  6. Step 6: Final answer
    x = 7,895.71

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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.