Home / 2,977.80-4,464-1,416.84

Finding the Fourth Proportional to 2,977.80, 4,464 and 1,416.84

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Solution

The fourth proportional to 2,977.80, 4,464 and 1,416.84 is: 2,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.80 : 4,464 = 1,416.84 : x
  2. Step 2: Convert to fraction form
    2,977.80/4,464 = 1,416.84/x
  3. Step 3: Cross multiply
    2,977.80x = 4,464 × 1,416.84
  4. Step 4: Simplify right side
    2,977.80x = 6,324,773.76
  5. Step 5: Solve for x
    x = 6,324,773.76/2,977.80
  6. Step 6: Final answer
    x = 2,123.98

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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.