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Finding the Fourth Proportional to 30,955.76, 42,718.74 and 16,808.60

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Solution

The fourth proportional to 30,955.76, 42,718.74 and 16,808.60 is: 23,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.76 : 42,718.74 = 16,808.60 : x
  2. Step 2: Convert to fraction form
    30,955.76/42,718.74 = 16,808.60/x
  3. Step 3: Cross multiply
    30,955.76x = 42,718.74 × 16,808.60
  4. Step 4: Simplify right side
    30,955.76x = 718,041,999.57
  5. Step 5: Solve for x
    x = 718,041,999.57/30,955.76
  6. Step 6: Final answer
    x = 23,195.75

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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.