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Finding the Fourth Proportional to 2,007.65, 3,011.15 and 602.06

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Solution

The fourth proportional to 2,007.65, 3,011.15 and 602.06 is: 902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.65 : 3,011.15 = 602.06 : x
  2. Step 2: Convert to fraction form
    2,007.65/3,011.15 = 602.06/x
  3. Step 3: Cross multiply
    2,007.65x = 3,011.15 × 602.06
  4. Step 4: Simplify right side
    2,007.65x = 1,812,879.42
  5. Step 5: Solve for x
    x = 1,812,879.42/2,007.65
  6. Step 6: Final answer
    x = 902.98

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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.