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Finding the Fourth Proportional to 30,583.71, 45,875.64 and 8,397.39

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Solution

The fourth proportional to 30,583.71, 45,875.64 and 8,397.39 is: 12,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.71 : 45,875.64 = 8,397.39 : x
  2. Step 2: Convert to fraction form
    30,583.71/45,875.64 = 8,397.39/x
  3. Step 3: Cross multiply
    30,583.71x = 45,875.64 × 8,397.39
  4. Step 4: Simplify right side
    30,583.71x = 385,235,640.58
  5. Step 5: Solve for x
    x = 385,235,640.58/30,583.71
  6. Step 6: Final answer
    x = 12,596.11

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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.