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Finding the Fourth Proportional to 10,853.99, 14,971.39 and 8,612.31

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Solution

The fourth proportional to 10,853.99, 14,971.39 and 8,612.31 is: 11,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.99 : 14,971.39 = 8,612.31 : x
  2. Step 2: Convert to fraction form
    10,853.99/14,971.39 = 8,612.31/x
  3. Step 3: Cross multiply
    10,853.99x = 14,971.39 × 8,612.31
  4. Step 4: Simplify right side
    10,853.99x = 128,938,251.81
  5. Step 5: Solve for x
    x = 128,938,251.81/10,853.99
  6. Step 6: Final answer
    x = 11,879.34

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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.