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Finding the Fourth Proportional to 14,160.86, 19,542.05 and 7,787.86

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Solution

The fourth proportional to 14,160.86, 19,542.05 and 7,787.86 is: 10,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.86 : 19,542.05 = 7,787.86 : x
  2. Step 2: Convert to fraction form
    14,160.86/19,542.05 = 7,787.86/x
  3. Step 3: Cross multiply
    14,160.86x = 19,542.05 × 7,787.86
  4. Step 4: Simplify right side
    14,160.86x = 152,190,749.51
  5. Step 5: Solve for x
    x = 152,190,749.51/14,160.86
  6. Step 6: Final answer
    x = 10,747.28

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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.