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Finding the Fourth Proportional to 1,397,993.94, 1,929,881.16 and 1,053,969.12

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Solution

The fourth proportional to 1,397,993.94, 1,929,881.16 and 1,053,969.12 is: 1,454,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,993.94 : 1,929,881.16 = 1,053,969.12 : x
  2. Step 2: Convert to fraction form
    1,397,993.94/1,929,881.16 = 1,053,969.12/x
  3. Step 3: Cross multiply
    1,397,993.94x = 1,929,881.16 × 1,053,969.12
  4. Step 4: Simplify right side
    1,397,993.94x = 2,034,035,147,909.78
  5. Step 5: Solve for x
    x = 2,034,035,147,909.78/1,397,993.94
  6. Step 6: Final answer
    x = 1,454,967.07

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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.