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Finding the Fourth Proportional to 2,860.75, 4,291.13 and 913.11

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Solution

The fourth proportional to 2,860.75, 4,291.13 and 913.11 is: 1,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.75 : 4,291.13 = 913.11 : x
  2. Step 2: Convert to fraction form
    2,860.75/4,291.13 = 913.11/x
  3. Step 3: Cross multiply
    2,860.75x = 4,291.13 × 913.11
  4. Step 4: Simplify right side
    2,860.75x = 3,918,273.71
  5. Step 5: Solve for x
    x = 3,918,273.71/2,860.75
  6. Step 6: Final answer
    x = 1,369.67

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.