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Finding the Fourth Proportional to 1,990.51, 2,980.28 and 1,502.08

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Solution

The fourth proportional to 1,990.51, 2,980.28 and 1,502.08 is: 2,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.51 : 2,980.28 = 1,502.08 : x
  2. Step 2: Convert to fraction form
    1,990.51/2,980.28 = 1,502.08/x
  3. Step 3: Cross multiply
    1,990.51x = 2,980.28 × 1,502.08
  4. Step 4: Simplify right side
    1,990.51x = 4,476,615.29
  5. Step 5: Solve for x
    x = 4,476,615.29/1,990.51
  6. Step 6: Final answer
    x = 2,248.98

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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.