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Finding the Fourth Proportional to 3,010.78, 4,155.12 and 1,684.78

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Solution

The fourth proportional to 3,010.78, 4,155.12 and 1,684.78 is: 2,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.78 : 4,155.12 = 1,684.78 : x
  2. Step 2: Convert to fraction form
    3,010.78/4,155.12 = 1,684.78/x
  3. Step 3: Cross multiply
    3,010.78x = 4,155.12 × 1,684.78
  4. Step 4: Simplify right side
    3,010.78x = 7,000,463.07
  5. Step 5: Solve for x
    x = 7,000,463.07/3,010.78
  6. Step 6: Final answer
    x = 2,325.13

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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.