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Finding the Fourth Proportional to 9,920.56, 13,690.63 and 5,444.47

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Solution

The fourth proportional to 9,920.56, 13,690.63 and 5,444.47 is: 7,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.56 : 13,690.63 = 5,444.47 : x
  2. Step 2: Convert to fraction form
    9,920.56/13,690.63 = 5,444.47/x
  3. Step 3: Cross multiply
    9,920.56x = 13,690.63 × 5,444.47
  4. Step 4: Simplify right side
    9,920.56x = 74,538,178.88
  5. Step 5: Solve for x
    x = 74,538,178.88/9,920.56
  6. Step 6: Final answer
    x = 7,513.51

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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.