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Finding the Fourth Proportional to 10,383.72, 15,578.04 and 2,988

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Solution

The fourth proportional to 10,383.72, 15,578.04 and 2,988 is: 4,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.72 : 15,578.04 = 2,988 : x
  2. Step 2: Convert to fraction form
    10,383.72/15,578.04 = 2,988/x
  3. Step 3: Cross multiply
    10,383.72x = 15,578.04 × 2,988
  4. Step 4: Simplify right side
    10,383.72x = 46,547,183.52
  5. Step 5: Solve for x
    x = 46,547,183.52/10,383.72
  6. Step 6: Final answer
    x = 4,482.71

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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.