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Finding the Fourth Proportional to 15,315, 22,977.96 and 7,529.28

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Solution

The fourth proportional to 15,315, 22,977.96 and 7,529.28 is: 11,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315 : 22,977.96 = 7,529.28 : x
  2. Step 2: Convert to fraction form
    15,315/22,977.96 = 7,529.28/x
  3. Step 3: Cross multiply
    15,315x = 22,977.96 × 7,529.28
  4. Step 4: Simplify right side
    15,315x = 173,007,494.67
  5. Step 5: Solve for x
    x = 173,007,494.67/15,315
  6. Step 6: Final answer
    x = 11,296.60

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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.