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Finding the Fourth Proportional to 30,941.30, 42,699.12 and 16,794.16

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Solution

The fourth proportional to 30,941.30, 42,699.12 and 16,794.16 is: 23,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.30 : 42,699.12 = 16,794.16 : x
  2. Step 2: Convert to fraction form
    30,941.30/42,699.12 = 16,794.16/x
  3. Step 3: Cross multiply
    30,941.30x = 42,699.12 × 16,794.16
  4. Step 4: Simplify right side
    30,941.30x = 717,095,853.14
  5. Step 5: Solve for x
    x = 717,095,853.14/30,941.30
  6. Step 6: Final answer
    x = 23,176.01

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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.