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Finding the Fourth Proportional to 13,756.80, 18,984.32 and 7,469.12

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Solution

The fourth proportional to 13,756.80, 18,984.32 and 7,469.12 is: 10,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.80 : 18,984.32 = 7,469.12 : x
  2. Step 2: Convert to fraction form
    13,756.80/18,984.32 = 7,469.12/x
  3. Step 3: Cross multiply
    13,756.80x = 18,984.32 × 7,469.12
  4. Step 4: Simplify right side
    13,756.80x = 141,796,164.20
  5. Step 5: Solve for x
    x = 141,796,164.20/13,756.80
  6. Step 6: Final answer
    x = 10,307.35

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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.