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Finding the Fourth Proportional to 1,831.74, 2,527.80 and 992.45

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Solution

The fourth proportional to 1,831.74, 2,527.80 and 992.45 is: 1,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.74 : 2,527.80 = 992.45 : x
  2. Step 2: Convert to fraction form
    1,831.74/2,527.80 = 992.45/x
  3. Step 3: Cross multiply
    1,831.74x = 2,527.80 × 992.45
  4. Step 4: Simplify right side
    1,831.74x = 2,508,717.71
  5. Step 5: Solve for x
    x = 2,508,717.71/1,831.74
  6. Step 6: Final answer
    x = 1,369.58

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1.5x scale

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.