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Finding the Fourth Proportional to 11,614.60, 16,032.72 and 7,840

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Solution

The fourth proportional to 11,614.60, 16,032.72 and 7,840 is: 10,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.60 : 16,032.72 = 7,840 : x
  2. Step 2: Convert to fraction form
    11,614.60/16,032.72 = 7,840/x
  3. Step 3: Cross multiply
    11,614.60x = 16,032.72 × 7,840
  4. Step 4: Simplify right side
    11,614.60x = 125,696,524.80
  5. Step 5: Solve for x
    x = 125,696,524.80/11,614.60
  6. Step 6: Final answer
    x = 10,822.29

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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.