Home / 1,513.60-2,270.40-962.80

Finding the Fourth Proportional to 1,513.60, 2,270.40 and 962.80

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Solution

The fourth proportional to 1,513.60, 2,270.40 and 962.80 is: 1,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.60 : 2,270.40 = 962.80 : x
  2. Step 2: Convert to fraction form
    1,513.60/2,270.40 = 962.80/x
  3. Step 3: Cross multiply
    1,513.60x = 2,270.40 × 962.80
  4. Step 4: Simplify right side
    1,513.60x = 2,185,941.12
  5. Step 5: Solve for x
    x = 2,185,941.12/1,513.60
  6. Step 6: Final answer
    x = 1,444.20

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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.