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Finding the Fourth Proportional to 9,769.70, 14,638.35 and 8,117.30

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Solution

The fourth proportional to 9,769.70, 14,638.35 and 8,117.30 is: 12,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.70 : 14,638.35 = 8,117.30 : x
  2. Step 2: Convert to fraction form
    9,769.70/14,638.35 = 8,117.30/x
  3. Step 3: Cross multiply
    9,769.70x = 14,638.35 × 8,117.30
  4. Step 4: Simplify right side
    9,769.70x = 118,823,878.46
  5. Step 5: Solve for x
    x = 118,823,878.46/9,769.70
  6. Step 6: Final answer
    x = 12,162.49

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1.5x scale

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.