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Finding the Fourth Proportional to 2,266.50, 3,127.80 and 1,335

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Solution

The fourth proportional to 2,266.50, 3,127.80 and 1,335 is: 1,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.50 : 3,127.80 = 1,335 : x
  2. Step 2: Convert to fraction form
    2,266.50/3,127.80 = 1,335/x
  3. Step 3: Cross multiply
    2,266.50x = 3,127.80 × 1,335
  4. Step 4: Simplify right side
    2,266.50x = 4,175,613.00
  5. Step 5: Solve for x
    x = 4,175,613.00/2,266.50
  6. Step 6: Final answer
    x = 1,842.32

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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.