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Finding the Fourth Proportional to 10,640.80, 14,685 and 7,101.76

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Solution

The fourth proportional to 10,640.80, 14,685 and 7,101.76 is: 9,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.80 : 14,685 = 7,101.76 : x
  2. Step 2: Convert to fraction form
    10,640.80/14,685 = 7,101.76/x
  3. Step 3: Cross multiply
    10,640.80x = 14,685 × 7,101.76
  4. Step 4: Simplify right side
    10,640.80x = 104,289,345.60
  5. Step 5: Solve for x
    x = 104,289,345.60/10,640.80
  6. Step 6: Final answer
    x = 9,800.89

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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.