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Finding the Fourth Proportional to 2,666.99, 4,001.12 and 1,023.50

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Solution

The fourth proportional to 2,666.99, 4,001.12 and 1,023.50 is: 1,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.99 : 4,001.12 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    2,666.99/4,001.12 = 1,023.50/x
  3. Step 3: Cross multiply
    2,666.99x = 4,001.12 × 1,023.50
  4. Step 4: Simplify right side
    2,666.99x = 4,095,146.32
  5. Step 5: Solve for x
    x = 4,095,146.32/2,666.99
  6. Step 6: Final answer
    x = 1,535.49

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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.