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Finding the Fourth Proportional to 9,722, 13,417.28 and 5,530.26

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Solution

The fourth proportional to 9,722, 13,417.28 and 5,530.26 is: 7,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722 : 13,417.28 = 5,530.26 : x
  2. Step 2: Convert to fraction form
    9,722/13,417.28 = 5,530.26/x
  3. Step 3: Cross multiply
    9,722x = 13,417.28 × 5,530.26
  4. Step 4: Simplify right side
    9,722x = 74,201,046.89
  5. Step 5: Solve for x
    x = 74,201,046.89/9,722
  6. Step 6: Final answer
    x = 7,632.28

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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.