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Finding the Fourth Proportional to 31,051.62, 42,851.70 and 16,904.70

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Solution

The fourth proportional to 31,051.62, 42,851.70 and 16,904.70 is: 23,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.62 : 42,851.70 = 16,904.70 : x
  2. Step 2: Convert to fraction form
    31,051.62/42,851.70 = 16,904.70/x
  3. Step 3: Cross multiply
    31,051.62x = 42,851.70 × 16,904.70
  4. Step 4: Simplify right side
    31,051.62x = 724,395,132.99
  5. Step 5: Solve for x
    x = 724,395,132.99/31,051.62
  6. Step 6: Final answer
    x = 23,328.74

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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.