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Finding the Fourth Proportional to 19,562.40, 29,300.40 and 7,869.60

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Solution

The fourth proportional to 19,562.40, 29,300.40 and 7,869.60 is: 11,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.40 : 29,300.40 = 7,869.60 : x
  2. Step 2: Convert to fraction form
    19,562.40/29,300.40 = 7,869.60/x
  3. Step 3: Cross multiply
    19,562.40x = 29,300.40 × 7,869.60
  4. Step 4: Simplify right side
    19,562.40x = 230,582,427.84
  5. Step 5: Solve for x
    x = 230,582,427.84/19,562.40
  6. Step 6: Final answer
    x = 11,787.02

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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.