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Finding the Fourth Proportional to 1,974,842.31, 2,962,830.84 and 821,864.41

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Solution

The fourth proportional to 1,974,842.31, 2,962,830.84 and 821,864.41 is: 1,233,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,842.31 : 2,962,830.84 = 821,864.41 : x
  2. Step 2: Convert to fraction form
    1,974,842.31/2,962,830.84 = 821,864.41/x
  3. Step 3: Cross multiply
    1,974,842.31x = 2,962,830.84 × 821,864.41
  4. Step 4: Simplify right side
    1,974,842.31x = 2,435,045,220,246.40
  5. Step 5: Solve for x
    x = 2,435,045,220,246.40/1,974,842.31
  6. Step 6: Final answer
    x = 1,233,032.74

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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.