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Finding the Fourth Proportional to 10,283.31, 15,420.12 and 4,735.02

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Solution

The fourth proportional to 10,283.31, 15,420.12 and 4,735.02 is: 7,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.31 : 15,420.12 = 4,735.02 : x
  2. Step 2: Convert to fraction form
    10,283.31/15,420.12 = 4,735.02/x
  3. Step 3: Cross multiply
    10,283.31x = 15,420.12 × 4,735.02
  4. Step 4: Simplify right side
    10,283.31x = 73,014,576.60
  5. Step 5: Solve for x
    x = 73,014,576.60/10,283.31
  6. Step 6: Final answer
    x = 7,100.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.