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Finding the Fourth Proportional to 9,750.20, 14,625.30 and 7,302.20

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Solution

The fourth proportional to 9,750.20, 14,625.30 and 7,302.20 is: 10,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.20 : 14,625.30 = 7,302.20 : x
  2. Step 2: Convert to fraction form
    9,750.20/14,625.30 = 7,302.20/x
  3. Step 3: Cross multiply
    9,750.20x = 14,625.30 × 7,302.20
  4. Step 4: Simplify right side
    9,750.20x = 106,796,865.66
  5. Step 5: Solve for x
    x = 106,796,865.66/9,750.20
  6. Step 6: Final answer
    x = 10,953.30

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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.