Home / 2,127.16-3,187.98-1,030

Finding the Fourth Proportional to 2,127.16, 3,187.98 and 1,030

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Solution

The fourth proportional to 2,127.16, 3,187.98 and 1,030 is: 1,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.16 : 3,187.98 = 1,030 : x
  2. Step 2: Convert to fraction form
    2,127.16/3,187.98 = 1,030/x
  3. Step 3: Cross multiply
    2,127.16x = 3,187.98 × 1,030
  4. Step 4: Simplify right side
    2,127.16x = 3,283,619.40
  5. Step 5: Solve for x
    x = 3,283,619.40/2,127.16
  6. Step 6: Final answer
    x = 1,543.66

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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.