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Finding the Fourth Proportional to 4,689.45, 6,471.45 and 2,564.99

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Solution

The fourth proportional to 4,689.45, 6,471.45 and 2,564.99 is: 3,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.45 : 6,471.45 = 2,564.99 : x
  2. Step 2: Convert to fraction form
    4,689.45/6,471.45 = 2,564.99/x
  3. Step 3: Cross multiply
    4,689.45x = 6,471.45 × 2,564.99
  4. Step 4: Simplify right side
    4,689.45x = 16,599,204.54
  5. Step 5: Solve for x
    x = 16,599,204.54/4,689.45
  6. Step 6: Final answer
    x = 3,539.69

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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.