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Finding the Fourth Proportional to 8,645.76, 11,931.84 and 6,647.04

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Solution

The fourth proportional to 8,645.76, 11,931.84 and 6,647.04 is: 9,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.76 : 11,931.84 = 6,647.04 : x
  2. Step 2: Convert to fraction form
    8,645.76/11,931.84 = 6,647.04/x
  3. Step 3: Cross multiply
    8,645.76x = 11,931.84 × 6,647.04
  4. Step 4: Simplify right side
    8,645.76x = 79,311,417.75
  5. Step 5: Solve for x
    x = 79,311,417.75/8,645.76
  6. Step 6: Final answer
    x = 9,173.45

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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.