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Finding the Fourth Proportional to 1,470.51, 2,189.16 and 1,449.99

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Solution

The fourth proportional to 1,470.51, 2,189.16 and 1,449.99 is: 2,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.51 : 2,189.16 = 1,449.99 : x
  2. Step 2: Convert to fraction form
    1,470.51/2,189.16 = 1,449.99/x
  3. Step 3: Cross multiply
    1,470.51x = 2,189.16 × 1,449.99
  4. Step 4: Simplify right side
    1,470.51x = 3,174,260.11
  5. Step 5: Solve for x
    x = 3,174,260.11/1,470.51
  6. Step 6: Final answer
    x = 2,158.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.