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Finding the Fourth Proportional to 20,467.70, 30,585.02 and 15,368.64

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Solution

The fourth proportional to 20,467.70, 30,585.02 and 15,368.64 is: 22,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.70 : 30,585.02 = 15,368.64 : x
  2. Step 2: Convert to fraction form
    20,467.70/30,585.02 = 15,368.64/x
  3. Step 3: Cross multiply
    20,467.70x = 30,585.02 × 15,368.64
  4. Step 4: Simplify right side
    20,467.70x = 470,050,084.93
  5. Step 5: Solve for x
    x = 470,050,084.93/20,467.70
  6. Step 6: Final answer
    x = 22,965.46

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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.