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Finding the Fourth Proportional to 30,471.84, 42,051.76 and 17,041.64

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Solution

The fourth proportional to 30,471.84, 42,051.76 and 17,041.64 is: 23,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.84 : 42,051.76 = 17,041.64 : x
  2. Step 2: Convert to fraction form
    30,471.84/42,051.76 = 17,041.64/x
  3. Step 3: Cross multiply
    30,471.84x = 42,051.76 × 17,041.64
  4. Step 4: Simplify right side
    30,471.84x = 716,630,702.42
  5. Step 5: Solve for x
    x = 716,630,702.42/30,471.84
  6. Step 6: Final answer
    x = 23,517.80

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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.