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Finding the Fourth Proportional to 30,847.78, 42,570.02 and 16,700.65

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Solution

The fourth proportional to 30,847.78, 42,570.02 and 16,700.65 is: 23,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.78 : 42,570.02 = 16,700.65 : x
  2. Step 2: Convert to fraction form
    30,847.78/42,570.02 = 16,700.65/x
  3. Step 3: Cross multiply
    30,847.78x = 42,570.02 × 16,700.65
  4. Step 4: Simplify right side
    30,847.78x = 710,947,004.51
  5. Step 5: Solve for x
    x = 710,947,004.51/30,847.78
  6. Step 6: Final answer
    x = 23,046.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.