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Finding the Fourth Proportional to 2,376.97, 3,565.15 and 990.05

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Solution

The fourth proportional to 2,376.97, 3,565.15 and 990.05 is: 1,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.97 : 3,565.15 = 990.05 : x
  2. Step 2: Convert to fraction form
    2,376.97/3,565.15 = 990.05/x
  3. Step 3: Cross multiply
    2,376.97x = 3,565.15 × 990.05
  4. Step 4: Simplify right side
    2,376.97x = 3,529,656.46
  5. Step 5: Solve for x
    x = 3,529,656.46/2,376.97
  6. Step 6: Final answer
    x = 1,484.94

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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.