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Finding the Fourth Proportional to 2,978,640.51, 4,110,394.11 and 1,653,982.10

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Solution

The fourth proportional to 2,978,640.51, 4,110,394.11 and 1,653,982.10 is: 2,282,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,640.51 : 4,110,394.11 = 1,653,982.10 : x
  2. Step 2: Convert to fraction form
    2,978,640.51/4,110,394.11 = 1,653,982.10/x
  3. Step 3: Cross multiply
    2,978,640.51x = 4,110,394.11 × 1,653,982.10
  4. Step 4: Simplify right side
    2,978,640.51x = 6,798,518,270,545.01
  5. Step 5: Solve for x
    x = 6,798,518,270,545.01/2,978,640.51
  6. Step 6: Final answer
    x = 2,282,423.23

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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.