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Finding the Fourth Proportional to 30,473.68, 42,054 and 17,898.64

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Solution

The fourth proportional to 30,473.68, 42,054 and 17,898.64 is: 24,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,473.68 : 42,054 = 17,898.64 : x
  2. Step 2: Convert to fraction form
    30,473.68/42,054 = 17,898.64/x
  3. Step 3: Cross multiply
    30,473.68x = 42,054 × 17,898.64
  4. Step 4: Simplify right side
    30,473.68x = 752,709,406.56
  5. Step 5: Solve for x
    x = 752,709,406.56/30,473.68
  6. Step 6: Final answer
    x = 24,700.31

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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.