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Finding the Fourth Proportional to 7,112, 10,652.64 and 4,470.56

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Solution

The fourth proportional to 7,112, 10,652.64 and 4,470.56 is: 6,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112 : 10,652.64 = 4,470.56 : x
  2. Step 2: Convert to fraction form
    7,112/10,652.64 = 4,470.56/x
  3. Step 3: Cross multiply
    7,112x = 10,652.64 × 4,470.56
  4. Step 4: Simplify right side
    7,112x = 47,623,266.28
  5. Step 5: Solve for x
    x = 47,623,266.28/7,112
  6. Step 6: Final answer
    x = 6,696.18

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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.