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Finding the Fourth Proportional to 13,503.68, 20,255.49 and 4,741.10

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Solution

The fourth proportional to 13,503.68, 20,255.49 and 4,741.10 is: 7,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.68 : 20,255.49 = 4,741.10 : x
  2. Step 2: Convert to fraction form
    13,503.68/20,255.49 = 4,741.10/x
  3. Step 3: Cross multiply
    13,503.68x = 20,255.49 × 4,741.10
  4. Step 4: Simplify right side
    13,503.68x = 96,033,303.64
  5. Step 5: Solve for x
    x = 96,033,303.64/13,503.68
  6. Step 6: Final answer
    x = 7,111.64

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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.