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Finding the Fourth Proportional to 3,113.32, 4,669.82 and 804.76

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Solution

The fourth proportional to 3,113.32, 4,669.82 and 804.76 is: 1,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.32 : 4,669.82 = 804.76 : x
  2. Step 2: Convert to fraction form
    3,113.32/4,669.82 = 804.76/x
  3. Step 3: Cross multiply
    3,113.32x = 4,669.82 × 804.76
  4. Step 4: Simplify right side
    3,113.32x = 3,758,084.34
  5. Step 5: Solve for x
    x = 3,758,084.34/3,113.32
  6. Step 6: Final answer
    x = 1,207.10

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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.