Home / 1,420-2,127.30-1,110.40

Finding the Fourth Proportional to 1,420, 2,127.30 and 1,110.40

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Solution

The fourth proportional to 1,420, 2,127.30 and 1,110.40 is: 1,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 2,127.30 = 1,110.40 : x
  2. Step 2: Convert to fraction form
    1,420/2,127.30 = 1,110.40/x
  3. Step 3: Cross multiply
    1,420x = 2,127.30 × 1,110.40
  4. Step 4: Simplify right side
    1,420x = 2,362,153.92
  5. Step 5: Solve for x
    x = 2,362,153.92/1,420
  6. Step 6: Final answer
    x = 1,663.49

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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.