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Finding the Fourth Proportional to 1,407.04, 2,106.24 and 831.04

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Solution

The fourth proportional to 1,407.04, 2,106.24 and 831.04 is: 1,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.04 : 2,106.24 = 831.04 : x
  2. Step 2: Convert to fraction form
    1,407.04/2,106.24 = 831.04/x
  3. Step 3: Cross multiply
    1,407.04x = 2,106.24 × 831.04
  4. Step 4: Simplify right side
    1,407.04x = 1,750,369.69
  5. Step 5: Solve for x
    x = 1,750,369.69/1,407.04
  6. Step 6: Final answer
    x = 1,244.01

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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.