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Finding the Fourth Proportional to 21,154.77, 31,734.88 and 7,108.74

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Solution

The fourth proportional to 21,154.77, 31,734.88 and 7,108.74 is: 10,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.77 : 31,734.88 = 7,108.74 : x
  2. Step 2: Convert to fraction form
    21,154.77/31,734.88 = 7,108.74/x
  3. Step 3: Cross multiply
    21,154.77x = 31,734.88 × 7,108.74
  4. Step 4: Simplify right side
    21,154.77x = 225,594,993.08
  5. Step 5: Solve for x
    x = 225,594,993.08/21,154.77
  6. Step 6: Final answer
    x = 10,664.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.