Home / 1,428.21-2,140.11-964.17

Finding the Fourth Proportional to 1,428.21, 2,140.11 and 964.17

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Solution

The fourth proportional to 1,428.21, 2,140.11 and 964.17 is: 1,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.21 : 2,140.11 = 964.17 : x
  2. Step 2: Convert to fraction form
    1,428.21/2,140.11 = 964.17/x
  3. Step 3: Cross multiply
    1,428.21x = 2,140.11 × 964.17
  4. Step 4: Simplify right side
    1,428.21x = 2,063,429.86
  5. Step 5: Solve for x
    x = 2,063,429.86/1,428.21
  6. Step 6: Final answer
    x = 1,444.77

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1.5x scale

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.