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Finding the Fourth Proportional to 31,148.64, 46,647.63 and 21,798

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Solution

The fourth proportional to 31,148.64, 46,647.63 and 21,798 is: 32,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148.64 : 46,647.63 = 21,798 : x
  2. Step 2: Convert to fraction form
    31,148.64/46,647.63 = 21,798/x
  3. Step 3: Cross multiply
    31,148.64x = 46,647.63 × 21,798
  4. Step 4: Simplify right side
    31,148.64x = 1,016,825,038.74
  5. Step 5: Solve for x
    x = 1,016,825,038.74/31,148.64
  6. Step 6: Final answer
    x = 32,644.28

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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.