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Finding the Fourth Proportional to 30,971, 42,740.76 and 16,823.84

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Solution

The fourth proportional to 30,971, 42,740.76 and 16,823.84 is: 23,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 42,740.76 = 16,823.84 : x
  2. Step 2: Convert to fraction form
    30,971/42,740.76 = 16,823.84/x
  3. Step 3: Cross multiply
    30,971x = 42,740.76 × 16,823.84
  4. Step 4: Simplify right side
    30,971x = 719,063,707.72
  5. Step 5: Solve for x
    x = 719,063,707.72/30,971
  6. Step 6: Final answer
    x = 23,217.32

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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.