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Finding the Fourth Proportional to 4,977.08, 7,462.56 and 1,689.92

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Solution

The fourth proportional to 4,977.08, 7,462.56 and 1,689.92 is: 2,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.08 : 7,462.56 = 1,689.92 : x
  2. Step 2: Convert to fraction form
    4,977.08/7,462.56 = 1,689.92/x
  3. Step 3: Cross multiply
    4,977.08x = 7,462.56 × 1,689.92
  4. Step 4: Simplify right side
    4,977.08x = 12,611,129.40
  5. Step 5: Solve for x
    x = 12,611,129.40/4,977.08
  6. Step 6: Final answer
    x = 2,533.84

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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.