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Finding the Fourth Proportional to 30,871.73, 46,307.60 and 8,685.10

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Solution

The fourth proportional to 30,871.73, 46,307.60 and 8,685.10 is: 13,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.73 : 46,307.60 = 8,685.10 : x
  2. Step 2: Convert to fraction form
    30,871.73/46,307.60 = 8,685.10/x
  3. Step 3: Cross multiply
    30,871.73x = 46,307.60 × 8,685.10
  4. Step 4: Simplify right side
    30,871.73x = 402,186,143.09
  5. Step 5: Solve for x
    x = 402,186,143.09/30,871.73
  6. Step 6: Final answer
    x = 13,027.65

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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.