Home / 1,507.19-2,077.43-1,009.65

Finding the Fourth Proportional to 1,507.19, 2,077.43 and 1,009.65

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Solution

The fourth proportional to 1,507.19, 2,077.43 and 1,009.65 is: 1,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.19 : 2,077.43 = 1,009.65 : x
  2. Step 2: Convert to fraction form
    1,507.19/2,077.43 = 1,009.65/x
  3. Step 3: Cross multiply
    1,507.19x = 2,077.43 × 1,009.65
  4. Step 4: Simplify right side
    1,507.19x = 2,097,472.15
  5. Step 5: Solve for x
    x = 2,097,472.15/1,507.19
  6. Step 6: Final answer
    x = 1,391.65

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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.