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Finding the Fourth Proportional to 12,289.86, 16,960.32 and 6,984.90

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Solution

The fourth proportional to 12,289.86, 16,960.32 and 6,984.90 is: 9,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.86 : 16,960.32 = 6,984.90 : x
  2. Step 2: Convert to fraction form
    12,289.86/16,960.32 = 6,984.90/x
  3. Step 3: Cross multiply
    12,289.86x = 16,960.32 × 6,984.90
  4. Step 4: Simplify right side
    12,289.86x = 118,466,139.17
  5. Step 5: Solve for x
    x = 118,466,139.17/12,289.86
  6. Step 6: Final answer
    x = 9,639.34

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1.5x scale

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.