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Finding the Fourth Proportional to 1,943.96, 2,916.90 and 970.06

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Solution

The fourth proportional to 1,943.96, 2,916.90 and 970.06 is: 1,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.96 : 2,916.90 = 970.06 : x
  2. Step 2: Convert to fraction form
    1,943.96/2,916.90 = 970.06/x
  3. Step 3: Cross multiply
    1,943.96x = 2,916.90 × 970.06
  4. Step 4: Simplify right side
    1,943.96x = 2,829,568.01
  5. Step 5: Solve for x
    x = 2,829,568.01/1,943.96
  6. Step 6: Final answer
    x = 1,455.57

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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.