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Finding the Fourth Proportional to 30,783.84, 46,175.76 and 7,410.28

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Solution

The fourth proportional to 30,783.84, 46,175.76 and 7,410.28 is: 11,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.84 : 46,175.76 = 7,410.28 : x
  2. Step 2: Convert to fraction form
    30,783.84/46,175.76 = 7,410.28/x
  3. Step 3: Cross multiply
    30,783.84x = 46,175.76 × 7,410.28
  4. Step 4: Simplify right side
    30,783.84x = 342,175,195.37
  5. Step 5: Solve for x
    x = 342,175,195.37/30,783.84
  6. Step 6: Final answer
    x = 11,115.42

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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.