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Finding the Fourth Proportional to 3,478.59, 4,801.50 and 3,011.51

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Solution

The fourth proportional to 3,478.59, 4,801.50 and 3,011.51 is: 4,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.59 : 4,801.50 = 3,011.51 : x
  2. Step 2: Convert to fraction form
    3,478.59/4,801.50 = 3,011.51/x
  3. Step 3: Cross multiply
    3,478.59x = 4,801.50 × 3,011.51
  4. Step 4: Simplify right side
    3,478.59x = 14,459,777.27
  5. Step 5: Solve for x
    x = 14,459,777.27/3,478.59
  6. Step 6: Final answer
    x = 4,156.79

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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.