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Finding the Fourth Proportional to 1,894.61, 2,838.53 and 1,617.86

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Solution

The fourth proportional to 1,894.61, 2,838.53 and 1,617.86 is: 2,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.61 : 2,838.53 = 1,617.86 : x
  2. Step 2: Convert to fraction form
    1,894.61/2,838.53 = 1,617.86/x
  3. Step 3: Cross multiply
    1,894.61x = 2,838.53 × 1,617.86
  4. Step 4: Simplify right side
    1,894.61x = 4,592,321.86
  5. Step 5: Solve for x
    x = 4,592,321.86/1,894.61
  6. Step 6: Final answer
    x = 2,423.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.