Home / 1,972.96-2,962.17-999.74

Finding the Fourth Proportional to 1,972.96, 2,962.17 and 999.74

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Solution

The fourth proportional to 1,972.96, 2,962.17 and 999.74 is: 1,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.96 : 2,962.17 = 999.74 : x
  2. Step 2: Convert to fraction form
    1,972.96/2,962.17 = 999.74/x
  3. Step 3: Cross multiply
    1,972.96x = 2,962.17 × 999.74
  4. Step 4: Simplify right side
    1,972.96x = 2,961,407.24
  5. Step 5: Solve for x
    x = 2,961,407.24/1,972.96
  6. Step 6: Final answer
    x = 1,501.00

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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.