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Finding the Fourth Proportional to 9,896, 13,656.48 and 5,704.52

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Solution

The fourth proportional to 9,896, 13,656.48 and 5,704.52 is: 7,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 13,656.48 = 5,704.52 : x
  2. Step 2: Convert to fraction form
    9,896/13,656.48 = 5,704.52/x
  3. Step 3: Cross multiply
    9,896x = 13,656.48 × 5,704.52
  4. Step 4: Simplify right side
    9,896x = 77,903,663.29
  5. Step 5: Solve for x
    x = 77,903,663.29/9,896
  6. Step 6: Final answer
    x = 7,872.24

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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.