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Finding the Fourth Proportional to 30,797.48, 42,500.71 and 19,472.08

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Solution

The fourth proportional to 30,797.48, 42,500.71 and 19,472.08 is: 26,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.48 : 42,500.71 = 19,472.08 : x
  2. Step 2: Convert to fraction form
    30,797.48/42,500.71 = 19,472.08/x
  3. Step 3: Cross multiply
    30,797.48x = 42,500.71 × 19,472.08
  4. Step 4: Simplify right side
    30,797.48x = 827,577,225.18
  5. Step 5: Solve for x
    x = 827,577,225.18/30,797.48
  6. Step 6: Final answer
    x = 26,871.59

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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.