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Finding the Fourth Proportional to 9,855, 13,600.08 and 5,664.24

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Solution

The fourth proportional to 9,855, 13,600.08 and 5,664.24 is: 7,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 13,600.08 = 5,664.24 : x
  2. Step 2: Convert to fraction form
    9,855/13,600.08 = 5,664.24/x
  3. Step 3: Cross multiply
    9,855x = 13,600.08 × 5,664.24
  4. Step 4: Simplify right side
    9,855x = 77,034,117.14
  5. Step 5: Solve for x
    x = 77,034,117.14/9,855
  6. Step 6: Final answer
    x = 7,816.75

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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.