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Finding the Fourth Proportional to 8,643.24, 12,971.28 and 6,427.24

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Solution

The fourth proportional to 8,643.24, 12,971.28 and 6,427.24 is: 9,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.24 : 12,971.28 = 6,427.24 : x
  2. Step 2: Convert to fraction form
    8,643.24/12,971.28 = 6,427.24/x
  3. Step 3: Cross multiply
    8,643.24x = 12,971.28 × 6,427.24
  4. Step 4: Simplify right side
    8,643.24x = 83,369,529.67
  5. Step 5: Solve for x
    x = 83,369,529.67/8,643.24
  6. Step 6: Final answer
    x = 9,645.63

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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.