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Finding the Fourth Proportional to 6,210.09, 9,315.09 and 1,530.09

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Solution

The fourth proportional to 6,210.09, 9,315.09 and 1,530.09 is: 2,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.09 : 9,315.09 = 1,530.09 : x
  2. Step 2: Convert to fraction form
    6,210.09/9,315.09 = 1,530.09/x
  3. Step 3: Cross multiply
    6,210.09x = 9,315.09 × 1,530.09
  4. Step 4: Simplify right side
    6,210.09x = 14,252,926.06
  5. Step 5: Solve for x
    x = 14,252,926.06/6,210.09
  6. Step 6: Final answer
    x = 2,295.12

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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.