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Finding the Fourth Proportional to 7,661.36, 11,445.47 and 4,865.64

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Solution

The fourth proportional to 7,661.36, 11,445.47 and 4,865.64 is: 7,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.36 : 11,445.47 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    7,661.36/11,445.47 = 4,865.64/x
  3. Step 3: Cross multiply
    7,661.36x = 11,445.47 × 4,865.64
  4. Step 4: Simplify right side
    7,661.36x = 55,689,512.32
  5. Step 5: Solve for x
    x = 55,689,512.32/7,661.36
  6. Step 6: Final answer
    x = 7,268.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.