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Finding the Fourth Proportional to 30,560, 42,188.16 and 28,716.80

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Solution

The fourth proportional to 30,560, 42,188.16 and 28,716.80 is: 39,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,560 : 42,188.16 = 28,716.80 : x
  2. Step 2: Convert to fraction form
    30,560/42,188.16 = 28,716.80/x
  3. Step 3: Cross multiply
    30,560x = 42,188.16 × 28,716.80
  4. Step 4: Simplify right side
    30,560x = 1,211,508,953.09
  5. Step 5: Solve for x
    x = 1,211,508,953.09/30,560
  6. Step 6: Final answer
    x = 39,643.62

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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.