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Finding the Fourth Proportional to 13,647.64, 20,453.10 and 7,060

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Solution

The fourth proportional to 13,647.64, 20,453.10 and 7,060 is: 10,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.64 : 20,453.10 = 7,060 : x
  2. Step 2: Convert to fraction form
    13,647.64/20,453.10 = 7,060/x
  3. Step 3: Cross multiply
    13,647.64x = 20,453.10 × 7,060
  4. Step 4: Simplify right side
    13,647.64x = 144,398,886
  5. Step 5: Solve for x
    x = 144,398,886/13,647.64
  6. Step 6: Final answer
    x = 10,580.50

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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.