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Finding the Fourth Proportional to 3,416, 4,709.76 and 2,530.32

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Solution

The fourth proportional to 3,416, 4,709.76 and 2,530.32 is: 3,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 4,709.76 = 2,530.32 : x
  2. Step 2: Convert to fraction form
    3,416/4,709.76 = 2,530.32/x
  3. Step 3: Cross multiply
    3,416x = 4,709.76 × 2,530.32
  4. Step 4: Simplify right side
    3,416x = 11,917,199.92
  5. Step 5: Solve for x
    x = 11,917,199.92/3,416
  6. Step 6: Final answer
    x = 3,488.64

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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.