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Finding the Fourth Proportional to 14,265.74, 19,686.60 and 7,978.11

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Solution

The fourth proportional to 14,265.74, 19,686.60 and 7,978.11 is: 11,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.74 : 19,686.60 = 7,978.11 : x
  2. Step 2: Convert to fraction form
    14,265.74/19,686.60 = 7,978.11/x
  3. Step 3: Cross multiply
    14,265.74x = 19,686.60 × 7,978.11
  4. Step 4: Simplify right side
    14,265.74x = 157,061,860.33
  5. Step 5: Solve for x
    x = 157,061,860.33/14,265.74
  6. Step 6: Final answer
    x = 11,009.73

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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.