Home / 1,530.78-2,293.07-1,009.49

Finding the Fourth Proportional to 1,530.78, 2,293.07 and 1,009.49

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Solution

The fourth proportional to 1,530.78, 2,293.07 and 1,009.49 is: 1,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.78 : 2,293.07 = 1,009.49 : x
  2. Step 2: Convert to fraction form
    1,530.78/2,293.07 = 1,009.49/x
  3. Step 3: Cross multiply
    1,530.78x = 2,293.07 × 1,009.49
  4. Step 4: Simplify right side
    1,530.78x = 2,314,831.23
  5. Step 5: Solve for x
    x = 2,314,831.23/1,530.78
  6. Step 6: Final answer
    x = 1,512.19

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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.