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Finding the Fourth Proportional to 9,883.94, 13,639.72 and 5,407.64

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Solution

The fourth proportional to 9,883.94, 13,639.72 and 5,407.64 is: 7,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.94 : 13,639.72 = 5,407.64 : x
  2. Step 2: Convert to fraction form
    9,883.94/13,639.72 = 5,407.64/x
  3. Step 3: Cross multiply
    9,883.94x = 13,639.72 × 5,407.64
  4. Step 4: Simplify right side
    9,883.94x = 73,758,600.22
  5. Step 5: Solve for x
    x = 73,758,600.22/9,883.94
  6. Step 6: Final answer
    x = 7,462.47

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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.