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Finding the Fourth Proportional to 2,702.95, 4,053.81 and 971.57

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Solution

The fourth proportional to 2,702.95, 4,053.81 and 971.57 is: 1,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.95 : 4,053.81 = 971.57 : x
  2. Step 2: Convert to fraction form
    2,702.95/4,053.81 = 971.57/x
  3. Step 3: Cross multiply
    2,702.95x = 4,053.81 × 971.57
  4. Step 4: Simplify right side
    2,702.95x = 3,938,560.18
  5. Step 5: Solve for x
    x = 3,938,560.18/2,702.95
  6. Step 6: Final answer
    x = 1,457.13

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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.