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Finding the Fourth Proportional to 30,984, 42,756.75 and 16,836.54

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Solution

The fourth proportional to 30,984, 42,756.75 and 16,836.54 is: 23,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984 : 42,756.75 = 16,836.54 : x
  2. Step 2: Convert to fraction form
    30,984/42,756.75 = 16,836.54/x
  3. Step 3: Cross multiply
    30,984x = 42,756.75 × 16,836.54
  4. Step 4: Simplify right side
    30,984x = 719,875,731.65
  5. Step 5: Solve for x
    x = 719,875,731.65/30,984
  6. Step 6: Final answer
    x = 23,233.79

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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.