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Finding the Fourth Proportional to 4,977.18, 7,461.14 and 1,688.00

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Solution

The fourth proportional to 4,977.18, 7,461.14 and 1,688.00 is: 2,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.18 : 7,461.14 = 1,688.00 : x
  2. Step 2: Convert to fraction form
    4,977.18/7,461.14 = 1,688.00/x
  3. Step 3: Cross multiply
    4,977.18x = 7,461.14 × 1,688.00
  4. Step 4: Simplify right side
    4,977.18x = 12,594,358.57
  5. Step 5: Solve for x
    x = 12,594,358.57/4,977.18
  6. Step 6: Final answer
    x = 2,530.42

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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.