Home / 1,470.21-2,202.81-921.16

Finding the Fourth Proportional to 1,470.21, 2,202.81 and 921.16

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Solution

The fourth proportional to 1,470.21, 2,202.81 and 921.16 is: 1,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.21 : 2,202.81 = 921.16 : x
  2. Step 2: Convert to fraction form
    1,470.21/2,202.81 = 921.16/x
  3. Step 3: Cross multiply
    1,470.21x = 2,202.81 × 921.16
  4. Step 4: Simplify right side
    1,470.21x = 2,029,140.46
  5. Step 5: Solve for x
    x = 2,029,140.46/1,470.21
  6. Step 6: Final answer
    x = 1,380.17

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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.