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Finding the Fourth Proportional to 10,647.64, 15,960.72 and 4,411.06

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Solution

The fourth proportional to 10,647.64, 15,960.72 and 4,411.06 is: 6,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.64 : 15,960.72 = 4,411.06 : x
  2. Step 2: Convert to fraction form
    10,647.64/15,960.72 = 4,411.06/x
  3. Step 3: Cross multiply
    10,647.64x = 15,960.72 × 4,411.06
  4. Step 4: Simplify right side
    10,647.64x = 70,403,693.56
  5. Step 5: Solve for x
    x = 70,403,693.56/10,647.64
  6. Step 6: Final answer
    x = 6,612.14

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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.