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Finding the Fourth Proportional to 2,165.86, 2,989.20 and 1,420.93

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Solution

The fourth proportional to 2,165.86, 2,989.20 and 1,420.93 is: 1,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.86 : 2,989.20 = 1,420.93 : x
  2. Step 2: Convert to fraction form
    2,165.86/2,989.20 = 1,420.93/x
  3. Step 3: Cross multiply
    2,165.86x = 2,989.20 × 1,420.93
  4. Step 4: Simplify right side
    2,165.86x = 4,247,443.96
  5. Step 5: Solve for x
    x = 4,247,443.96/2,165.86
  6. Step 6: Final answer
    x = 1,961.09

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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.