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Finding the Fourth Proportional to 7,037.68, 9,712.20 and 3,894.16

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Solution

The fourth proportional to 7,037.68, 9,712.20 and 3,894.16 is: 5,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.68 : 9,712.20 = 3,894.16 : x
  2. Step 2: Convert to fraction form
    7,037.68/9,712.20 = 3,894.16/x
  3. Step 3: Cross multiply
    7,037.68x = 9,712.20 × 3,894.16
  4. Step 4: Simplify right side
    7,037.68x = 37,820,860.75
  5. Step 5: Solve for x
    x = 37,820,860.75/7,037.68
  6. Step 6: Final answer
    x = 5,374.05

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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.