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Finding the Fourth Proportional to 9,854.77, 13,599.63 and 5,378.63

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Solution

The fourth proportional to 9,854.77, 13,599.63 and 5,378.63 is: 7,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.77 : 13,599.63 = 5,378.63 : x
  2. Step 2: Convert to fraction form
    9,854.77/13,599.63 = 5,378.63/x
  3. Step 3: Cross multiply
    9,854.77x = 13,599.63 × 5,378.63
  4. Step 4: Simplify right side
    9,854.77x = 73,147,309.91
  5. Step 5: Solve for x
    x = 73,147,309.91/9,854.77
  6. Step 6: Final answer
    x = 7,422.53

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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.