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Finding the Fourth Proportional to 30,930.72, 46,393.44 and 9,869.91

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Solution

The fourth proportional to 30,930.72, 46,393.44 and 9,869.91 is: 14,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.72 : 46,393.44 = 9,869.91 : x
  2. Step 2: Convert to fraction form
    30,930.72/46,393.44 = 9,869.91/x
  3. Step 3: Cross multiply
    30,930.72x = 46,393.44 × 9,869.91
  4. Step 4: Simplify right side
    30,930.72x = 457,899,077.39
  5. Step 5: Solve for x
    x = 457,899,077.39/30,930.72
  6. Step 6: Final answer
    x = 14,804.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.