Home / 1,643.28-2,269.44-1,421.16

Finding the Fourth Proportional to 1,643.28, 2,269.44 and 1,421.16

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Solution

The fourth proportional to 1,643.28, 2,269.44 and 1,421.16 is: 1,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.28 : 2,269.44 = 1,421.16 : x
  2. Step 2: Convert to fraction form
    1,643.28/2,269.44 = 1,421.16/x
  3. Step 3: Cross multiply
    1,643.28x = 2,269.44 × 1,421.16
  4. Step 4: Simplify right side
    1,643.28x = 3,225,237.35
  5. Step 5: Solve for x
    x = 3,225,237.35/1,643.28
  6. Step 6: Final answer
    x = 1,962.68

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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.