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Finding the Fourth Proportional to 7,101.12, 9,799.74 and 3,957.51

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Solution

The fourth proportional to 7,101.12, 9,799.74 and 3,957.51 is: 5,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.12 : 9,799.74 = 3,957.51 : x
  2. Step 2: Convert to fraction form
    7,101.12/9,799.74 = 3,957.51/x
  3. Step 3: Cross multiply
    7,101.12x = 9,799.74 × 3,957.51
  4. Step 4: Simplify right side
    7,101.12x = 38,782,569.05
  5. Step 5: Solve for x
    x = 38,782,569.05/7,101.12
  6. Step 6: Final answer
    x = 5,461.47

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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.