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Finding the Fourth Proportional to 7,130.70, 10,704.15 and 4,210.65

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Solution

The fourth proportional to 7,130.70, 10,704.15 and 4,210.65 is: 6,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.70 : 10,704.15 = 4,210.65 : x
  2. Step 2: Convert to fraction form
    7,130.70/10,704.15 = 4,210.65/x
  3. Step 3: Cross multiply
    7,130.70x = 10,704.15 × 4,210.65
  4. Step 4: Simplify right side
    7,130.70x = 45,071,429.20
  5. Step 5: Solve for x
    x = 45,071,429.20/7,130.70
  6. Step 6: Final answer
    x = 6,320.76

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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.