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Finding the Fourth Proportional to 31,215, 46,808.61 and 9,023.10

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Solution

The fourth proportional to 31,215, 46,808.61 and 9,023.10 is: 13,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215 : 46,808.61 = 9,023.10 : x
  2. Step 2: Convert to fraction form
    31,215/46,808.61 = 9,023.10/x
  3. Step 3: Cross multiply
    31,215x = 46,808.61 × 9,023.10
  4. Step 4: Simplify right side
    31,215x = 422,358,768.89
  5. Step 5: Solve for x
    x = 422,358,768.89/31,215
  6. Step 6: Final answer
    x = 13,530.63

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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.