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Finding the Fourth Proportional to 2,874.54, 4,312.46 and 926.63

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Solution

The fourth proportional to 2,874.54, 4,312.46 and 926.63 is: 1,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 4,312.46 = 926.63 : x
  2. Step 2: Convert to fraction form
    2,874.54/4,312.46 = 926.63/x
  3. Step 3: Cross multiply
    2,874.54x = 4,312.46 × 926.63
  4. Step 4: Simplify right side
    2,874.54x = 3,996,054.81
  5. Step 5: Solve for x
    x = 3,996,054.81/2,874.54
  6. Step 6: Final answer
    x = 1,390.15

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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.