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Finding the Fourth Proportional to 7,148.09, 9,868.16 and 5,383.91

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Solution

The fourth proportional to 7,148.09, 9,868.16 and 5,383.91 is: 7,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.09 : 9,868.16 = 5,383.91 : x
  2. Step 2: Convert to fraction form
    7,148.09/9,868.16 = 5,383.91/x
  3. Step 3: Cross multiply
    7,148.09x = 9,868.16 × 5,383.91
  4. Step 4: Simplify right side
    7,148.09x = 53,129,285.31
  5. Step 5: Solve for x
    x = 53,129,285.31/7,148.09
  6. Step 6: Final answer
    x = 7,432.65

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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.