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Finding the Fourth Proportional to 30,970.46, 42,740.16 and 16,824.26

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Solution

The fourth proportional to 30,970.46, 42,740.16 and 16,824.26 is: 23,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.46 : 42,740.16 = 16,824.26 : x
  2. Step 2: Convert to fraction form
    30,970.46/42,740.16 = 16,824.26/x
  3. Step 3: Cross multiply
    30,970.46x = 42,740.16 × 16,824.26
  4. Step 4: Simplify right side
    30,970.46x = 719,071,564.28
  5. Step 5: Solve for x
    x = 719,071,564.28/30,970.46
  6. Step 6: Final answer
    x = 23,217.98

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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.