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Finding the Fourth Proportional to 7,190.70, 10,779.65 and 6,413.10

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Solution

The fourth proportional to 7,190.70, 10,779.65 and 6,413.10 is: 9,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.70 : 10,779.65 = 6,413.10 : x
  2. Step 2: Convert to fraction form
    7,190.70/10,779.65 = 6,413.10/x
  3. Step 3: Cross multiply
    7,190.70x = 10,779.65 × 6,413.10
  4. Step 4: Simplify right side
    7,190.70x = 69,130,973.42
  5. Step 5: Solve for x
    x = 69,130,973.42/7,190.70
  6. Step 6: Final answer
    x = 9,613.94

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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.