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Finding the Fourth Proportional to 30,783.78, 46,213.92 and 21,482.94

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Solution

The fourth proportional to 30,783.78, 46,213.92 and 21,482.94 is: 32,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.78 : 46,213.92 = 21,482.94 : x
  2. Step 2: Convert to fraction form
    30,783.78/46,213.92 = 21,482.94/x
  3. Step 3: Cross multiply
    30,783.78x = 46,213.92 × 21,482.94
  4. Step 4: Simplify right side
    30,783.78x = 992,810,870.52
  5. Step 5: Solve for x
    x = 992,810,870.52/30,783.78
  6. Step 6: Final answer
    x = 32,251.10

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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.