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Finding the Fourth Proportional to 13,645.30, 20,435.07 and 7,784.14

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Solution

The fourth proportional to 13,645.30, 20,435.07 and 7,784.14 is: 11,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.30 : 20,435.07 = 7,784.14 : x
  2. Step 2: Convert to fraction form
    13,645.30/20,435.07 = 7,784.14/x
  3. Step 3: Cross multiply
    13,645.30x = 20,435.07 × 7,784.14
  4. Step 4: Simplify right side
    13,645.30x = 159,069,445.79
  5. Step 5: Solve for x
    x = 159,069,445.79/13,645.30
  6. Step 6: Final answer
    x = 11,657.45

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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.