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Finding the Fourth Proportional to 9,521.60, 13,122 and 6,864.48

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Solution

The fourth proportional to 9,521.60, 13,122 and 6,864.48 is: 9,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.60 : 13,122 = 6,864.48 : x
  2. Step 2: Convert to fraction form
    9,521.60/13,122 = 6,864.48/x
  3. Step 3: Cross multiply
    9,521.60x = 13,122 × 6,864.48
  4. Step 4: Simplify right side
    9,521.60x = 90,075,706.56
  5. Step 5: Solve for x
    x = 90,075,706.56/9,521.60
  6. Step 6: Final answer
    x = 9,460.14

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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.