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Finding the Fourth Proportional to 7,100.53, 9,800.40 and 4,413.77

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Solution

The fourth proportional to 7,100.53, 9,800.40 and 4,413.77 is: 6,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.53 : 9,800.40 = 4,413.77 : x
  2. Step 2: Convert to fraction form
    7,100.53/9,800.40 = 4,413.77/x
  3. Step 3: Cross multiply
    7,100.53x = 9,800.40 × 4,413.77
  4. Step 4: Simplify right side
    7,100.53x = 43,256,719.46
  5. Step 5: Solve for x
    x = 43,256,719.46/7,100.53
  6. Step 6: Final answer
    x = 6,092.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.