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Finding the Fourth Proportional to 13,970.76, 20,948.04 and 5,643.96

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Solution

The fourth proportional to 13,970.76, 20,948.04 and 5,643.96 is: 8,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.76 : 20,948.04 = 5,643.96 : x
  2. Step 2: Convert to fraction form
    13,970.76/20,948.04 = 5,643.96/x
  3. Step 3: Cross multiply
    13,970.76x = 20,948.04 × 5,643.96
  4. Step 4: Simplify right side
    13,970.76x = 118,229,899.84
  5. Step 5: Solve for x
    x = 118,229,899.84/13,970.76
  6. Step 6: Final answer
    x = 8,462.67

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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.