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Finding the Fourth Proportional to 9,891.43, 13,653.63 and 6,117.49

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Solution

The fourth proportional to 9,891.43, 13,653.63 and 6,117.49 is: 8,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.43 : 13,653.63 = 6,117.49 : x
  2. Step 2: Convert to fraction form
    9,891.43/13,653.63 = 6,117.49/x
  3. Step 3: Cross multiply
    9,891.43x = 13,653.63 × 6,117.49
  4. Step 4: Simplify right side
    9,891.43x = 83,525,944.99
  5. Step 5: Solve for x
    x = 83,525,944.99/9,891.43
  6. Step 6: Final answer
    x = 8,444.27

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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.