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Finding the Fourth Proportional to 10,384.50, 15,576.75 and 3,088.50

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Solution

The fourth proportional to 10,384.50, 15,576.75 and 3,088.50 is: 4,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.50 : 15,576.75 = 3,088.50 : x
  2. Step 2: Convert to fraction form
    10,384.50/15,576.75 = 3,088.50/x
  3. Step 3: Cross multiply
    10,384.50x = 15,576.75 × 3,088.50
  4. Step 4: Simplify right side
    10,384.50x = 48,108,792.38
  5. Step 5: Solve for x
    x = 48,108,792.38/10,384.50
  6. Step 6: Final answer
    x = 4,632.75

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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.