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Finding the Fourth Proportional to 8,632.70, 11,917.14 and 6,509.10

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Solution

The fourth proportional to 8,632.70, 11,917.14 and 6,509.10 is: 8,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.70 : 11,917.14 = 6,509.10 : x
  2. Step 2: Convert to fraction form
    8,632.70/11,917.14 = 6,509.10/x
  3. Step 3: Cross multiply
    8,632.70x = 11,917.14 × 6,509.10
  4. Step 4: Simplify right side
    8,632.70x = 77,569,855.97
  5. Step 5: Solve for x
    x = 77,569,855.97/8,632.70
  6. Step 6: Final answer
    x = 8,985.58

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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.