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Finding the Fourth Proportional to 4,672.08, 7,006.92 and 1,384.40

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Solution

The fourth proportional to 4,672.08, 7,006.92 and 1,384.40 is: 2,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.08 : 7,006.92 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    4,672.08/7,006.92 = 1,384.40/x
  3. Step 3: Cross multiply
    4,672.08x = 7,006.92 × 1,384.40
  4. Step 4: Simplify right side
    4,672.08x = 9,700,392.37
  5. Step 5: Solve for x
    x = 9,700,392.37/4,672.08
  6. Step 6: Final answer
    x = 2,076.25

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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.