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Finding the Fourth Proportional to 31,125.94, 42,953.07 and 16,978.90

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Solution

The fourth proportional to 31,125.94, 42,953.07 and 16,978.90 is: 23,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.94 : 42,953.07 = 16,978.90 : x
  2. Step 2: Convert to fraction form
    31,125.94/42,953.07 = 16,978.90/x
  3. Step 3: Cross multiply
    31,125.94x = 42,953.07 × 16,978.90
  4. Step 4: Simplify right side
    31,125.94x = 729,295,880.22
  5. Step 5: Solve for x
    x = 729,295,880.22/31,125.94
  6. Step 6: Final answer
    x = 23,430.49

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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.