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Finding the Fourth Proportional to 40,765, 56,237.88 and 28,838.56

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Solution

The fourth proportional to 40,765, 56,237.88 and 28,838.56 is: 39,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,765 : 56,237.88 = 28,838.56 : x
  2. Step 2: Convert to fraction form
    40,765/56,237.88 = 28,838.56/x
  3. Step 3: Cross multiply
    40,765x = 56,237.88 × 28,838.56
  4. Step 4: Simplify right side
    40,765x = 1,621,819,476.65
  5. Step 5: Solve for x
    x = 1,621,819,476.65/40,765
  6. Step 6: Final answer
    x = 39,784.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.