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Finding the Fourth Proportional to 13,978.55, 19,293.12 and 8,014.20

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Solution

The fourth proportional to 13,978.55, 19,293.12 and 8,014.20 is: 11,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.55 : 19,293.12 = 8,014.20 : x
  2. Step 2: Convert to fraction form
    13,978.55/19,293.12 = 8,014.20/x
  3. Step 3: Cross multiply
    13,978.55x = 19,293.12 × 8,014.20
  4. Step 4: Simplify right side
    13,978.55x = 154,618,922.30
  5. Step 5: Solve for x
    x = 154,618,922.30/13,978.55
  6. Step 6: Final answer
    x = 11,061.16

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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.