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Finding the Fourth Proportional to 4,689.58, 6,472.90 and 2,920.14

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Solution

The fourth proportional to 4,689.58, 6,472.90 and 2,920.14 is: 4,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.58 : 6,472.90 = 2,920.14 : x
  2. Step 2: Convert to fraction form
    4,689.58/6,472.90 = 2,920.14/x
  3. Step 3: Cross multiply
    4,689.58x = 6,472.90 × 2,920.14
  4. Step 4: Simplify right side
    4,689.58x = 18,901,774.21
  5. Step 5: Solve for x
    x = 18,901,774.21/4,689.58
  6. Step 6: Final answer
    x = 4,030.59

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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.