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Finding the Fourth Proportional to 30,971.84, 46,460.80 and 17,798.72

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Solution

The fourth proportional to 30,971.84, 46,460.80 and 17,798.72 is: 26,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.84 : 46,460.80 = 17,798.72 : x
  2. Step 2: Convert to fraction form
    30,971.84/46,460.80 = 17,798.72/x
  3. Step 3: Cross multiply
    30,971.84x = 46,460.80 × 17,798.72
  4. Step 4: Simplify right side
    30,971.84x = 826,942,770.18
  5. Step 5: Solve for x
    x = 826,942,770.18/30,971.84
  6. Step 6: Final answer
    x = 26,699.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.