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Finding the Fourth Proportional to 13,477.19, 20,208.87 and 7,242.45

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Solution

The fourth proportional to 13,477.19, 20,208.87 and 7,242.45 is: 10,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.19 : 20,208.87 = 7,242.45 : x
  2. Step 2: Convert to fraction form
    13,477.19/20,208.87 = 7,242.45/x
  3. Step 3: Cross multiply
    13,477.19x = 20,208.87 × 7,242.45
  4. Step 4: Simplify right side
    13,477.19x = 146,361,730.53
  5. Step 5: Solve for x
    x = 146,361,730.53/13,477.19
  6. Step 6: Final answer
    x = 10,859.96

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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.