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Finding the Fourth Proportional to 2,013.13, 3,020.32 and 903.47

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Solution

The fourth proportional to 2,013.13, 3,020.32 and 903.47 is: 1,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.13 : 3,020.32 = 903.47 : x
  2. Step 2: Convert to fraction form
    2,013.13/3,020.32 = 903.47/x
  3. Step 3: Cross multiply
    2,013.13x = 3,020.32 × 903.47
  4. Step 4: Simplify right side
    2,013.13x = 2,728,768.51
  5. Step 5: Solve for x
    x = 2,728,768.51/2,013.13
  6. Step 6: Final answer
    x = 1,355.49

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1.5x scale

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.