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Finding the Fourth Proportional to 11,487.36, 15,840 and 7,754.88

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Solution

The fourth proportional to 11,487.36, 15,840 and 7,754.88 is: 10,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.36 : 15,840 = 7,754.88 : x
  2. Step 2: Convert to fraction form
    11,487.36/15,840 = 7,754.88/x
  3. Step 3: Cross multiply
    11,487.36x = 15,840 × 7,754.88
  4. Step 4: Simplify right side
    11,487.36x = 122,837,299.20
  5. Step 5: Solve for x
    x = 122,837,299.20/11,487.36
  6. Step 6: Final answer
    x = 10,693.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.