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Finding the Fourth Proportional to 13,999.71, 19,321.43 and 8,030.21

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Solution

The fourth proportional to 13,999.71, 19,321.43 and 8,030.21 is: 11,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.71 : 19,321.43 = 8,030.21 : x
  2. Step 2: Convert to fraction form
    13,999.71/19,321.43 = 8,030.21/x
  3. Step 3: Cross multiply
    13,999.71x = 19,321.43 × 8,030.21
  4. Step 4: Simplify right side
    13,999.71x = 155,155,148.55
  5. Step 5: Solve for x
    x = 155,155,148.55/13,999.71
  6. Step 6: Final answer
    x = 11,082.74

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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.