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Finding the Fourth Proportional to 9,625.40, 14,438.64 and 9,101.78

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Solution

The fourth proportional to 9,625.40, 14,438.64 and 9,101.78 is: 13,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.40 : 14,438.64 = 9,101.78 : x
  2. Step 2: Convert to fraction form
    9,625.40/14,438.64 = 9,101.78/x
  3. Step 3: Cross multiply
    9,625.40x = 14,438.64 × 9,101.78
  4. Step 4: Simplify right side
    9,625.40x = 131,417,324.78
  5. Step 5: Solve for x
    x = 131,417,324.78/9,625.40
  6. Step 6: Final answer
    x = 13,653.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.