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Finding the Fourth Proportional to 13,697.84, 20,528.04 and 7,449.68

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Solution

The fourth proportional to 13,697.84, 20,528.04 and 7,449.68 is: 11,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.84 : 20,528.04 = 7,449.68 : x
  2. Step 2: Convert to fraction form
    13,697.84/20,528.04 = 7,449.68/x
  3. Step 3: Cross multiply
    13,697.84x = 20,528.04 × 7,449.68
  4. Step 4: Simplify right side
    13,697.84x = 152,927,329.03
  5. Step 5: Solve for x
    x = 152,927,329.03/13,697.84
  6. Step 6: Final answer
    x = 11,164.34

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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.