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Finding the Fourth Proportional to 5,114.58, 7,671.84 and 1,416.77

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Solution

The fourth proportional to 5,114.58, 7,671.84 and 1,416.77 is: 2,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.58 : 7,671.84 = 1,416.77 : x
  2. Step 2: Convert to fraction form
    5,114.58/7,671.84 = 1,416.77/x
  3. Step 3: Cross multiply
    5,114.58x = 7,671.84 × 1,416.77
  4. Step 4: Simplify right side
    5,114.58x = 10,869,232.76
  5. Step 5: Solve for x
    x = 10,869,232.76/5,114.58
  6. Step 6: Final answer
    x = 2,125.15

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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.