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Finding the Fourth Proportional to 5,430.75, 8,146.13 and 1,968

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Solution

The fourth proportional to 5,430.75, 8,146.13 and 1,968 is: 2,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.75 : 8,146.13 = 1,968 : x
  2. Step 2: Convert to fraction form
    5,430.75/8,146.13 = 1,968/x
  3. Step 3: Cross multiply
    5,430.75x = 8,146.13 × 1,968
  4. Step 4: Simplify right side
    5,430.75x = 16,031,574
  5. Step 5: Solve for x
    x = 16,031,574/5,430.75
  6. Step 6: Final answer
    x = 2,952

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Double scale
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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.