Home / 2,909.40-4,364.08-962.16

Finding the Fourth Proportional to 2,909.40, 4,364.08 and 962.16

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Solution

The fourth proportional to 2,909.40, 4,364.08 and 962.16 is: 1,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.40 : 4,364.08 = 962.16 : x
  2. Step 2: Convert to fraction form
    2,909.40/4,364.08 = 962.16/x
  3. Step 3: Cross multiply
    2,909.40x = 4,364.08 × 962.16
  4. Step 4: Simplify right side
    2,909.40x = 4,198,943.21
  5. Step 5: Solve for x
    x = 4,198,943.21/2,909.40
  6. Step 6: Final answer
    x = 1,443.23

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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.