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Finding the Fourth Proportional to 12,289.72, 16,959.81 and 6,984.40

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Solution

The fourth proportional to 12,289.72, 16,959.81 and 6,984.40 is: 9,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.72 : 16,959.81 = 6,984.40 : x
  2. Step 2: Convert to fraction form
    12,289.72/16,959.81 = 6,984.40/x
  3. Step 3: Cross multiply
    12,289.72x = 16,959.81 × 6,984.40
  4. Step 4: Simplify right side
    12,289.72x = 118,454,080.76
  5. Step 5: Solve for x
    x = 118,454,080.76/12,289.72
  6. Step 6: Final answer
    x = 9,638.47

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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.