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Finding the Fourth Proportional to 10,411.76, 14,357.12 and 8,509.12

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Solution

The fourth proportional to 10,411.76, 14,357.12 and 8,509.12 is: 11,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.76 : 14,357.12 = 8,509.12 : x
  2. Step 2: Convert to fraction form
    10,411.76/14,357.12 = 8,509.12/x
  3. Step 3: Cross multiply
    10,411.76x = 14,357.12 × 8,509.12
  4. Step 4: Simplify right side
    10,411.76x = 122,166,456.93
  5. Step 5: Solve for x
    x = 122,166,456.93/10,411.76
  6. Step 6: Final answer
    x = 11,733.51

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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.