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Finding the Fourth Proportional to 1,972,123.90, 2,954,038.65 and 1,640,347.90

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Solution

The fourth proportional to 1,972,123.90, 2,954,038.65 and 1,640,347.90 is: 2,457,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,123.90 : 2,954,038.65 = 1,640,347.90 : x
  2. Step 2: Convert to fraction form
    1,972,123.90/2,954,038.65 = 1,640,347.90/x
  3. Step 3: Cross multiply
    1,972,123.90x = 2,954,038.65 × 1,640,347.90
  4. Step 4: Simplify right side
    1,972,123.90x = 4,845,651,096,046.34
  5. Step 5: Solve for x
    x = 4,845,651,096,046.34/1,972,123.90
  6. Step 6: Final answer
    x = 2,457,072.35

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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.