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Finding the Fourth Proportional to 14,604.57, 20,154.32 and 7,890.20

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Solution

The fourth proportional to 14,604.57, 20,154.32 and 7,890.20 is: 10,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.57 : 20,154.32 = 7,890.20 : x
  2. Step 2: Convert to fraction form
    14,604.57/20,154.32 = 7,890.20/x
  3. Step 3: Cross multiply
    14,604.57x = 20,154.32 × 7,890.20
  4. Step 4: Simplify right side
    14,604.57x = 159,021,475.44
  5. Step 5: Solve for x
    x = 159,021,475.44/14,604.57
  6. Step 6: Final answer
    x = 10,888.47

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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.