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Finding the Fourth Proportional to 10,374.72, 14,315.04 and 6,648

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Solution

The fourth proportional to 10,374.72, 14,315.04 and 6,648 is: 9,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.72 : 14,315.04 = 6,648 : x
  2. Step 2: Convert to fraction form
    10,374.72/14,315.04 = 6,648/x
  3. Step 3: Cross multiply
    10,374.72x = 14,315.04 × 6,648
  4. Step 4: Simplify right side
    10,374.72x = 95,166,385.92
  5. Step 5: Solve for x
    x = 95,166,385.92/10,374.72
  6. Step 6: Final answer
    x = 9,172.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.