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Finding the Fourth Proportional to 31,034.69, 42,828.07 and 16,887.63

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Solution

The fourth proportional to 31,034.69, 42,828.07 and 16,887.63 is: 23,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.69 : 42,828.07 = 16,887.63 : x
  2. Step 2: Convert to fraction form
    31,034.69/42,828.07 = 16,887.63/x
  3. Step 3: Cross multiply
    31,034.69x = 42,828.07 × 16,887.63
  4. Step 4: Simplify right side
    31,034.69x = 723,264,599.77
  5. Step 5: Solve for x
    x = 723,264,599.77/31,034.69
  6. Step 6: Final answer
    x = 23,305.04

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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.