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Finding the Fourth Proportional to 2,415.86, 3,333.90 and 1,421.45

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Solution

The fourth proportional to 2,415.86, 3,333.90 and 1,421.45 is: 1,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.86 : 3,333.90 = 1,421.45 : x
  2. Step 2: Convert to fraction form
    2,415.86/3,333.90 = 1,421.45/x
  3. Step 3: Cross multiply
    2,415.86x = 3,333.90 × 1,421.45
  4. Step 4: Simplify right side
    2,415.86x = 4,738,972.16
  5. Step 5: Solve for x
    x = 4,738,972.16/2,415.86
  6. Step 6: Final answer
    x = 1,961.61

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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.