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Finding the Fourth Proportional to 13,356.70, 20,018.64 and 7,501

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Solution

The fourth proportional to 13,356.70, 20,018.64 and 7,501 is: 11,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.70 : 20,018.64 = 7,501 : x
  2. Step 2: Convert to fraction form
    13,356.70/20,018.64 = 7,501/x
  3. Step 3: Cross multiply
    13,356.70x = 20,018.64 × 7,501
  4. Step 4: Simplify right side
    13,356.70x = 150,159,818.64
  5. Step 5: Solve for x
    x = 150,159,818.64/13,356.70
  6. Step 6: Final answer
    x = 11,242.28

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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.