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Finding the Fourth Proportional to 4,278.72, 5,904.72 and 2,415.36

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Solution

The fourth proportional to 4,278.72, 5,904.72 and 2,415.36 is: 3,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.72 : 5,904.72 = 2,415.36 : x
  2. Step 2: Convert to fraction form
    4,278.72/5,904.72 = 2,415.36/x
  3. Step 3: Cross multiply
    4,278.72x = 5,904.72 × 2,415.36
  4. Step 4: Simplify right side
    4,278.72x = 14,262,024.50
  5. Step 5: Solve for x
    x = 14,262,024.50/4,278.72
  6. Step 6: Final answer
    x = 3,333.25

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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.