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Finding the Fourth Proportional to 4,690, 6,472.32 and 2,827.12

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Solution

The fourth proportional to 4,690, 6,472.32 and 2,827.12 is: 3,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690 : 6,472.32 = 2,827.12 : x
  2. Step 2: Convert to fraction form
    4,690/6,472.32 = 2,827.12/x
  3. Step 3: Cross multiply
    4,690x = 6,472.32 × 2,827.12
  4. Step 4: Simplify right side
    4,690x = 18,298,025.32
  5. Step 5: Solve for x
    x = 18,298,025.32/4,690
  6. Step 6: Final answer
    x = 3,901.50

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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.