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Finding the Fourth Proportional to 14,157.90, 19,537.86 and 7,784.88

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Solution

The fourth proportional to 14,157.90, 19,537.86 and 7,784.88 is: 10,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.90 : 19,537.86 = 7,784.88 : x
  2. Step 2: Convert to fraction form
    14,157.90/19,537.86 = 7,784.88/x
  3. Step 3: Cross multiply
    14,157.90x = 19,537.86 × 7,784.88
  4. Step 4: Simplify right side
    14,157.90x = 152,099,895.56
  5. Step 5: Solve for x
    x = 152,099,895.56/14,157.90
  6. Step 6: Final answer
    x = 10,743.11

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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.