Home / 1,487.10-2,052.34-823.98

Finding the Fourth Proportional to 1,487.10, 2,052.34 and 823.98

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Solution

The fourth proportional to 1,487.10, 2,052.34 and 823.98 is: 1,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.10 : 2,052.34 = 823.98 : x
  2. Step 2: Convert to fraction form
    1,487.10/2,052.34 = 823.98/x
  3. Step 3: Cross multiply
    1,487.10x = 2,052.34 × 823.98
  4. Step 4: Simplify right side
    1,487.10x = 1,691,087.11
  5. Step 5: Solve for x
    x = 1,691,087.11/1,487.10
  6. Step 6: Final answer
    x = 1,137.17

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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.