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Finding the Fourth Proportional to 12,354, 17,048.37 and 6,688.62

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Solution

The fourth proportional to 12,354, 17,048.37 and 6,688.62 is: 9,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354 : 17,048.37 = 6,688.62 : x
  2. Step 2: Convert to fraction form
    12,354/17,048.37 = 6,688.62/x
  3. Step 3: Cross multiply
    12,354x = 17,048.37 × 6,688.62
  4. Step 4: Simplify right side
    12,354x = 114,030,068.55
  5. Step 5: Solve for x
    x = 114,030,068.55/12,354
  6. Step 6: Final answer
    x = 9,230.21

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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.