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Finding the Fourth Proportional to 31,807, 47,710.86 and 11,032.12

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Solution

The fourth proportional to 31,807, 47,710.86 and 11,032.12 is: 16,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807 : 47,710.86 = 11,032.12 : x
  2. Step 2: Convert to fraction form
    31,807/47,710.86 = 11,032.12/x
  3. Step 3: Cross multiply
    31,807x = 47,710.86 × 11,032.12
  4. Step 4: Simplify right side
    31,807x = 526,351,932.82
  5. Step 5: Solve for x
    x = 526,351,932.82/31,807
  6. Step 6: Final answer
    x = 16,548.30

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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.