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Finding the Fourth Proportional to 7,121.50, 9,827.61 and 3,935

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Solution

The fourth proportional to 7,121.50, 9,827.61 and 3,935 is: 5,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.50 : 9,827.61 = 3,935 : x
  2. Step 2: Convert to fraction form
    7,121.50/9,827.61 = 3,935/x
  3. Step 3: Cross multiply
    7,121.50x = 9,827.61 × 3,935
  4. Step 4: Simplify right side
    7,121.50x = 38,671,645.35
  5. Step 5: Solve for x
    x = 38,671,645.35/7,121.50
  6. Step 6: Final answer
    x = 5,430.27

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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.