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Finding the Fourth Proportional to 2,910, 4,015.11 and 1,862.40

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Solution

The fourth proportional to 2,910, 4,015.11 and 1,862.40 is: 2,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910 : 4,015.11 = 1,862.40 : x
  2. Step 2: Convert to fraction form
    2,910/4,015.11 = 1,862.40/x
  3. Step 3: Cross multiply
    2,910x = 4,015.11 × 1,862.40
  4. Step 4: Simplify right side
    2,910x = 7,477,740.86
  5. Step 5: Solve for x
    x = 7,477,740.86/2,910
  6. Step 6: Final answer
    x = 2,569.67

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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.