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Finding the Fourth Proportional to 2,916.19, 4,375.10 and 969.76

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Solution

The fourth proportional to 2,916.19, 4,375.10 and 969.76 is: 1,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.19 : 4,375.10 = 969.76 : x
  2. Step 2: Convert to fraction form
    2,916.19/4,375.10 = 969.76/x
  3. Step 3: Cross multiply
    2,916.19x = 4,375.10 × 969.76
  4. Step 4: Simplify right side
    2,916.19x = 4,242,796.98
  5. Step 5: Solve for x
    x = 4,242,796.98/2,916.19
  6. Step 6: Final answer
    x = 1,454.91

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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.