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Finding the Fourth Proportional to 31,640.40, 47,460.60 and 17,643.60

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Solution

The fourth proportional to 31,640.40, 47,460.60 and 17,643.60 is: 26,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.40 : 47,460.60 = 17,643.60 : x
  2. Step 2: Convert to fraction form
    31,640.40/47,460.60 = 17,643.60/x
  3. Step 3: Cross multiply
    31,640.40x = 47,460.60 × 17,643.60
  4. Step 4: Simplify right side
    31,640.40x = 837,375,842.16
  5. Step 5: Solve for x
    x = 837,375,842.16/31,640.40
  6. Step 6: Final answer
    x = 26,465.40

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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.