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Finding the Fourth Proportional to 1,971.84, 2,957.48 and 1,150.50

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Solution

The fourth proportional to 1,971.84, 2,957.48 and 1,150.50 is: 1,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.84 : 2,957.48 = 1,150.50 : x
  2. Step 2: Convert to fraction form
    1,971.84/2,957.48 = 1,150.50/x
  3. Step 3: Cross multiply
    1,971.84x = 2,957.48 × 1,150.50
  4. Step 4: Simplify right side
    1,971.84x = 3,402,580.74
  5. Step 5: Solve for x
    x = 3,402,580.74/1,971.84
  6. Step 6: Final answer
    x = 1,725.59

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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.