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Finding the Fourth Proportional to 13,573.90, 18,741.16 and 8,477.20

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Solution

The fourth proportional to 13,573.90, 18,741.16 and 8,477.20 is: 11,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.90 : 18,741.16 = 8,477.20 : x
  2. Step 2: Convert to fraction form
    13,573.90/18,741.16 = 8,477.20/x
  3. Step 3: Cross multiply
    13,573.90x = 18,741.16 × 8,477.20
  4. Step 4: Simplify right side
    13,573.90x = 158,872,561.55
  5. Step 5: Solve for x
    x = 158,872,561.55/13,573.90
  6. Step 6: Final answer
    x = 11,704.27

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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.