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Finding the Fourth Proportional to 4,278.66, 6,417.90 and 1,356.90

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Solution

The fourth proportional to 4,278.66, 6,417.90 and 1,356.90 is: 2,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.66 : 6,417.90 = 1,356.90 : x
  2. Step 2: Convert to fraction form
    4,278.66/6,417.90 = 1,356.90/x
  3. Step 3: Cross multiply
    4,278.66x = 6,417.90 × 1,356.90
  4. Step 4: Simplify right side
    4,278.66x = 8,708,448.51
  5. Step 5: Solve for x
    x = 8,708,448.51/4,278.66
  6. Step 6: Final answer
    x = 2,035.32

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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.