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Finding the Fourth Proportional to 2,014.76, 2,780.92 and 1,316

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Solution

The fourth proportional to 2,014.76, 2,780.92 and 1,316 is: 1,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.76 : 2,780.92 = 1,316 : x
  2. Step 2: Convert to fraction form
    2,014.76/2,780.92 = 1,316/x
  3. Step 3: Cross multiply
    2,014.76x = 2,780.92 × 1,316
  4. Step 4: Simplify right side
    2,014.76x = 3,659,690.72
  5. Step 5: Solve for x
    x = 3,659,690.72/2,014.76
  6. Step 6: Final answer
    x = 1,816.44

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Why These Related Problems?

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