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Finding the Fourth Proportional to 30,792.79, 42,494.09 and 16,645.64

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Solution

The fourth proportional to 30,792.79, 42,494.09 and 16,645.64 is: 22,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.79 : 42,494.09 = 16,645.64 : x
  2. Step 2: Convert to fraction form
    30,792.79/42,494.09 = 16,645.64/x
  3. Step 3: Cross multiply
    30,792.79x = 42,494.09 × 16,645.64
  4. Step 4: Simplify right side
    30,792.79x = 707,341,028.57
  5. Step 5: Solve for x
    x = 707,341,028.57/30,792.79
  6. Step 6: Final answer
    x = 22,970.99

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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.