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Finding the Fourth Proportional to 9,151.99, 13,721.60 and 4,214.84

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Solution

The fourth proportional to 9,151.99, 13,721.60 and 4,214.84 is: 6,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.99 : 13,721.60 = 4,214.84 : x
  2. Step 2: Convert to fraction form
    9,151.99/13,721.60 = 4,214.84/x
  3. Step 3: Cross multiply
    9,151.99x = 13,721.60 × 4,214.84
  4. Step 4: Simplify right side
    9,151.99x = 57,834,290.47
  5. Step 5: Solve for x
    x = 57,834,290.47/9,151.99
  6. Step 6: Final answer
    x = 6,319.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.