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Finding the Fourth Proportional to 30,413.70, 45,624.90 and 9,355.50

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Solution

The fourth proportional to 30,413.70, 45,624.90 and 9,355.50 is: 14,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.70 : 45,624.90 = 9,355.50 : x
  2. Step 2: Convert to fraction form
    30,413.70/45,624.90 = 9,355.50/x
  3. Step 3: Cross multiply
    30,413.70x = 45,624.90 × 9,355.50
  4. Step 4: Simplify right side
    30,413.70x = 426,843,751.95
  5. Step 5: Solve for x
    x = 426,843,751.95/30,413.70
  6. Step 6: Final answer
    x = 14,034.59

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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.