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Finding the Fourth Proportional to 13,973.76, 20,970.05 and 5,208.68

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Solution

The fourth proportional to 13,973.76, 20,970.05 and 5,208.68 is: 7,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.76 : 20,970.05 = 5,208.68 : x
  2. Step 2: Convert to fraction form
    13,973.76/20,970.05 = 5,208.68/x
  3. Step 3: Cross multiply
    13,973.76x = 20,970.05 × 5,208.68
  4. Step 4: Simplify right side
    13,973.76x = 109,226,149.14
  5. Step 5: Solve for x
    x = 109,226,149.14/13,973.76
  6. Step 6: Final answer
    x = 7,816.52

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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.