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Finding the Fourth Proportional to 4,940.93, 7,411.79 and 1,430.99

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Solution

The fourth proportional to 4,940.93, 7,411.79 and 1,430.99 is: 2,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.93 : 7,411.79 = 1,430.99 : x
  2. Step 2: Convert to fraction form
    4,940.93/7,411.79 = 1,430.99/x
  3. Step 3: Cross multiply
    4,940.93x = 7,411.79 × 1,430.99
  4. Step 4: Simplify right side
    4,940.93x = 10,606,208.75
  5. Step 5: Solve for x
    x = 10,606,208.75/4,940.93
  6. Step 6: Final answer
    x = 2,146.60

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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.