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Finding the Fourth Proportional to 10,210.30, 15,315.90 and 5,767.90

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Solution

The fourth proportional to 10,210.30, 15,315.90 and 5,767.90 is: 8,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.30 : 15,315.90 = 5,767.90 : x
  2. Step 2: Convert to fraction form
    10,210.30/15,315.90 = 5,767.90/x
  3. Step 3: Cross multiply
    10,210.30x = 15,315.90 × 5,767.90
  4. Step 4: Simplify right side
    10,210.30x = 88,340,579.61
  5. Step 5: Solve for x
    x = 88,340,579.61/10,210.30
  6. Step 6: Final answer
    x = 8,652.10

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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.