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Finding the Fourth Proportional to 1,531,831.81, 2,113,845.10 and 843,369.61

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Solution

The fourth proportional to 1,531,831.81, 2,113,845.10 and 843,369.61 is: 1,163,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,831.81 : 2,113,845.10 = 843,369.61 : x
  2. Step 2: Convert to fraction form
    1,531,831.81/2,113,845.10 = 843,369.61/x
  3. Step 3: Cross multiply
    1,531,831.81x = 2,113,845.10 × 843,369.61
  4. Step 4: Simplify right side
    1,531,831.81x = 1,782,752,717,587.41
  5. Step 5: Solve for x
    x = 1,782,752,717,587.41/1,531,831.81
  6. Step 6: Final answer
    x = 1,163,804.48

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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.