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Finding the Fourth Proportional to 2,038.96, 2,813.68 and 1,154.71

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Solution

The fourth proportional to 2,038.96, 2,813.68 and 1,154.71 is: 1,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.96 : 2,813.68 = 1,154.71 : x
  2. Step 2: Convert to fraction form
    2,038.96/2,813.68 = 1,154.71/x
  3. Step 3: Cross multiply
    2,038.96x = 2,813.68 × 1,154.71
  4. Step 4: Simplify right side
    2,038.96x = 3,248,984.43
  5. Step 5: Solve for x
    x = 3,248,984.43/2,038.96
  6. Step 6: Final answer
    x = 1,593.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.