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Finding the Fourth Proportional to 10,203.81, 15,312.24 and 6,508.68

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Solution

The fourth proportional to 10,203.81, 15,312.24 and 6,508.68 is: 9,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.81 : 15,312.24 = 6,508.68 : x
  2. Step 2: Convert to fraction form
    10,203.81/15,312.24 = 6,508.68/x
  3. Step 3: Cross multiply
    10,203.81x = 15,312.24 × 6,508.68
  4. Step 4: Simplify right side
    10,203.81x = 99,662,470.24
  5. Step 5: Solve for x
    x = 99,662,470.24/10,203.81
  6. Step 6: Final answer
    x = 9,767.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.