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Finding the Fourth Proportional to 5,068, 7,603.28 and 1,420

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Solution

The fourth proportional to 5,068, 7,603.28 and 1,420 is: 2,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068 : 7,603.28 = 1,420 : x
  2. Step 2: Convert to fraction form
    5,068/7,603.28 = 1,420/x
  3. Step 3: Cross multiply
    5,068x = 7,603.28 × 1,420
  4. Step 4: Simplify right side
    5,068x = 10,796,657.60
  5. Step 5: Solve for x
    x = 10,796,657.60/5,068
  6. Step 6: Final answer
    x = 2,130.36

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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.