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Finding the Fourth Proportional to 13,532.64, 18,674.73 and 7,564.87

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Solution

The fourth proportional to 13,532.64, 18,674.73 and 7,564.87 is: 10,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.64 : 18,674.73 = 7,564.87 : x
  2. Step 2: Convert to fraction form
    13,532.64/18,674.73 = 7,564.87/x
  3. Step 3: Cross multiply
    13,532.64x = 18,674.73 × 7,564.87
  4. Step 4: Simplify right side
    13,532.64x = 141,271,854.28
  5. Step 5: Solve for x
    x = 141,271,854.28/13,532.64
  6. Step 6: Final answer
    x = 10,439.34

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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.