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Finding the Fourth Proportional to 4,244.80, 6,368.64 and 1,648

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Solution

The fourth proportional to 4,244.80, 6,368.64 and 1,648 is: 2,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.80 : 6,368.64 = 1,648 : x
  2. Step 2: Convert to fraction form
    4,244.80/6,368.64 = 1,648/x
  3. Step 3: Cross multiply
    4,244.80x = 6,368.64 × 1,648
  4. Step 4: Simplify right side
    4,244.80x = 10,495,518.72
  5. Step 5: Solve for x
    x = 10,495,518.72/4,244.80
  6. Step 6: Final answer
    x = 2,472.56

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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.