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Finding the Fourth Proportional to 2,710.32, 3,738 and 1,916.31

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Solution

The fourth proportional to 2,710.32, 3,738 and 1,916.31 is: 2,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.32 : 3,738 = 1,916.31 : x
  2. Step 2: Convert to fraction form
    2,710.32/3,738 = 1,916.31/x
  3. Step 3: Cross multiply
    2,710.32x = 3,738 × 1,916.31
  4. Step 4: Simplify right side
    2,710.32x = 7,163,166.78
  5. Step 5: Solve for x
    x = 7,163,166.78/2,710.32
  6. Step 6: Final answer
    x = 2,642.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.