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Finding the Fourth Proportional to 13,507.86, 20,300.10 and 7,962.03

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Solution

The fourth proportional to 13,507.86, 20,300.10 and 7,962.03 is: 11,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.86 : 20,300.10 = 7,962.03 : x
  2. Step 2: Convert to fraction form
    13,507.86/20,300.10 = 7,962.03/x
  3. Step 3: Cross multiply
    13,507.86x = 20,300.10 × 7,962.03
  4. Step 4: Simplify right side
    13,507.86x = 161,630,005.20
  5. Step 5: Solve for x
    x = 161,630,005.20/13,507.86
  6. Step 6: Final answer
    x = 11,965.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.