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Finding the Fourth Proportional to 9,876.63, 13,629.51 and 5,400.48

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Solution

The fourth proportional to 9,876.63, 13,629.51 and 5,400.48 is: 7,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.63 : 13,629.51 = 5,400.48 : x
  2. Step 2: Convert to fraction form
    9,876.63/13,629.51 = 5,400.48/x
  3. Step 3: Cross multiply
    9,876.63x = 13,629.51 × 5,400.48
  4. Step 4: Simplify right side
    9,876.63x = 73,605,896.16
  5. Step 5: Solve for x
    x = 73,605,896.16/9,876.63
  6. Step 6: Final answer
    x = 7,452.53

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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.