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Finding the Fourth Proportional to 3,417.58, 5,154.79 and 3,011.80

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Solution

The fourth proportional to 3,417.58, 5,154.79 and 3,011.80 is: 4,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.58 : 5,154.79 = 3,011.80 : x
  2. Step 2: Convert to fraction form
    3,417.58/5,154.79 = 3,011.80/x
  3. Step 3: Cross multiply
    3,417.58x = 5,154.79 × 3,011.80
  4. Step 4: Simplify right side
    3,417.58x = 15,525,196.52
  5. Step 5: Solve for x
    x = 15,525,196.52/3,417.58
  6. Step 6: Final answer
    x = 4,542.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.