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Finding the Fourth Proportional to 51,324, 70,827.12 and 28,969.44

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Solution

The fourth proportional to 51,324, 70,827.12 and 28,969.44 is: 39,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 70,827.12 = 28,969.44 : x
  2. Step 2: Convert to fraction form
    51,324/70,827.12 = 28,969.44/x
  3. Step 3: Cross multiply
    51,324x = 70,827.12 × 28,969.44
  4. Step 4: Simplify right side
    51,324x = 2,051,822,003.21
  5. Step 5: Solve for x
    x = 2,051,822,003.21/51,324
  6. Step 6: Final answer
    x = 39,977.83

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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.