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Finding the Fourth Proportional to 1,812.60, 2,713.14 and 945.72

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Solution

The fourth proportional to 1,812.60, 2,713.14 and 945.72 is: 1,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.60 : 2,713.14 = 945.72 : x
  2. Step 2: Convert to fraction form
    1,812.60/2,713.14 = 945.72/x
  3. Step 3: Cross multiply
    1,812.60x = 2,713.14 × 945.72
  4. Step 4: Simplify right side
    1,812.60x = 2,565,870.76
  5. Step 5: Solve for x
    x = 2,565,870.76/1,812.60
  6. Step 6: Final answer
    x = 1,415.57

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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.