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Finding the Fourth Proportional to 30,469.65, 42,046.47 and 17,038.23

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Solution

The fourth proportional to 30,469.65, 42,046.47 and 17,038.23 is: 23,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.65 : 42,046.47 = 17,038.23 : x
  2. Step 2: Convert to fraction form
    30,469.65/42,046.47 = 17,038.23/x
  3. Step 3: Cross multiply
    30,469.65x = 42,046.47 × 17,038.23
  4. Step 4: Simplify right side
    30,469.65x = 716,397,426.55
  5. Step 5: Solve for x
    x = 716,397,426.55/30,469.65
  6. Step 6: Final answer
    x = 23,511.84

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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.