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Finding the Fourth Proportional to 30,985, 42,758.13 and 16,837.54

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Solution

The fourth proportional to 30,985, 42,758.13 and 16,837.54 is: 23,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985 : 42,758.13 = 16,837.54 : x
  2. Step 2: Convert to fraction form
    30,985/42,758.13 = 16,837.54/x
  3. Step 3: Cross multiply
    30,985x = 42,758.13 × 16,837.54
  4. Step 4: Simplify right side
    30,985x = 719,941,724.20
  5. Step 5: Solve for x
    x = 719,941,724.20/30,985
  6. Step 6: Final answer
    x = 23,235.17

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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.