Home / 1,530.51-2,112.14-831.93

Finding the Fourth Proportional to 1,530.51, 2,112.14 and 831.93

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Solution

The fourth proportional to 1,530.51, 2,112.14 and 831.93 is: 1,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.51 : 2,112.14 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,530.51/2,112.14 = 831.93/x
  3. Step 3: Cross multiply
    1,530.51x = 2,112.14 × 831.93
  4. Step 4: Simplify right side
    1,530.51x = 1,757,148.47
  5. Step 5: Solve for x
    x = 1,757,148.47/1,530.51
  6. Step 6: Final answer
    x = 1,148.08

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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.