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Finding the Fourth Proportional to 30,580.74, 45,870.57 and 8,394.03

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Solution

The fourth proportional to 30,580.74, 45,870.57 and 8,394.03 is: 12,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.74 : 45,870.57 = 8,394.03 : x
  2. Step 2: Convert to fraction form
    30,580.74/45,870.57 = 8,394.03/x
  3. Step 3: Cross multiply
    30,580.74x = 45,870.57 × 8,394.03
  4. Step 4: Simplify right side
    30,580.74x = 385,038,940.70
  5. Step 5: Solve for x
    x = 385,038,940.70/30,580.74
  6. Step 6: Final answer
    x = 12,590.90

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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.