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Finding the Fourth Proportional to 10,215.40, 14,109.12 and 8,178.40

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Solution

The fourth proportional to 10,215.40, 14,109.12 and 8,178.40 is: 11,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.40 : 14,109.12 = 8,178.40 : x
  2. Step 2: Convert to fraction form
    10,215.40/14,109.12 = 8,178.40/x
  3. Step 3: Cross multiply
    10,215.40x = 14,109.12 × 8,178.40
  4. Step 4: Simplify right side
    10,215.40x = 115,390,027.01
  5. Step 5: Solve for x
    x = 115,390,027.01/10,215.40
  6. Step 6: Final answer
    x = 11,295.69

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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.