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Finding the Fourth Proportional to 9,876.52, 13,629.54 and 5,400.28

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Solution

The fourth proportional to 9,876.52, 13,629.54 and 5,400.28 is: 7,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.52 : 13,629.54 = 5,400.28 : x
  2. Step 2: Convert to fraction form
    9,876.52/13,629.54 = 5,400.28/x
  3. Step 3: Cross multiply
    9,876.52x = 13,629.54 × 5,400.28
  4. Step 4: Simplify right side
    9,876.52x = 73,603,332.27
  5. Step 5: Solve for x
    x = 73,603,332.27/9,876.52
  6. Step 6: Final answer
    x = 7,452.35

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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.