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Finding the Fourth Proportional to 2,679.02, 4,015.65 and 947.06

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Solution

The fourth proportional to 2,679.02, 4,015.65 and 947.06 is: 1,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.02 : 4,015.65 = 947.06 : x
  2. Step 2: Convert to fraction form
    2,679.02/4,015.65 = 947.06/x
  3. Step 3: Cross multiply
    2,679.02x = 4,015.65 × 947.06
  4. Step 4: Simplify right side
    2,679.02x = 3,803,061.49
  5. Step 5: Solve for x
    x = 3,803,061.49/2,679.02
  6. Step 6: Final answer
    x = 1,419.57

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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.