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Finding the Fourth Proportional to 7,145.54, 10,713.99 and 4,830.02

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Solution

The fourth proportional to 7,145.54, 10,713.99 and 4,830.02 is: 7,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.54 : 10,713.99 = 4,830.02 : x
  2. Step 2: Convert to fraction form
    7,145.54/10,713.99 = 4,830.02/x
  3. Step 3: Cross multiply
    7,145.54x = 10,713.99 × 4,830.02
  4. Step 4: Simplify right side
    7,145.54x = 51,748,785.98
  5. Step 5: Solve for x
    x = 51,748,785.98/7,145.54
  6. Step 6: Final answer
    x = 7,242.11

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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.