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Finding the Fourth Proportional to 1,973.54, 2,722.51 and 1,291.77

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Solution

The fourth proportional to 1,973.54, 2,722.51 and 1,291.77 is: 1,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.54 : 2,722.51 = 1,291.77 : x
  2. Step 2: Convert to fraction form
    1,973.54/2,722.51 = 1,291.77/x
  3. Step 3: Cross multiply
    1,973.54x = 2,722.51 × 1,291.77
  4. Step 4: Simplify right side
    1,973.54x = 3,516,856.74
  5. Step 5: Solve for x
    x = 3,516,856.74/1,973.54
  6. Step 6: Final answer
    x = 1,782.00

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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.