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Finding the Fourth Proportional to 13,202.86, 19,798.10 and 7,657.78

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Solution

The fourth proportional to 13,202.86, 19,798.10 and 7,657.78 is: 11,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.86 : 19,798.10 = 7,657.78 : x
  2. Step 2: Convert to fraction form
    13,202.86/19,798.10 = 7,657.78/x
  3. Step 3: Cross multiply
    13,202.86x = 19,798.10 × 7,657.78
  4. Step 4: Simplify right side
    13,202.86x = 151,609,494.22
  5. Step 5: Solve for x
    x = 151,609,494.22/13,202.86
  6. Step 6: Final answer
    x = 11,483.08

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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.