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Finding the Fourth Proportional to 13,501.87, 20,127.64 and 13,288.64

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Solution

The fourth proportional to 13,501.87, 20,127.64 and 13,288.64 is: 19,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.87 : 20,127.64 = 13,288.64 : x
  2. Step 2: Convert to fraction form
    13,501.87/20,127.64 = 13,288.64/x
  3. Step 3: Cross multiply
    13,501.87x = 20,127.64 × 13,288.64
  4. Step 4: Simplify right side
    13,501.87x = 267,468,962.01
  5. Step 5: Solve for x
    x = 267,468,962.01/13,501.87
  6. Step 6: Final answer
    x = 19,809.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.