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Finding the Fourth Proportional to 10,428.03, 15,640.40 and 3,408

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Solution

The fourth proportional to 10,428.03, 15,640.40 and 3,408 is: 5,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.03 : 15,640.40 = 3,408 : x
  2. Step 2: Convert to fraction form
    10,428.03/15,640.40 = 3,408/x
  3. Step 3: Cross multiply
    10,428.03x = 15,640.40 × 3,408
  4. Step 4: Simplify right side
    10,428.03x = 53,302,466.16
  5. Step 5: Solve for x
    x = 53,302,466.16/10,428.03
  6. Step 6: Final answer
    x = 5,111.46

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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.