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Finding the Fourth Proportional to 3,133.60, 4,700.40 and 942.08

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Solution

The fourth proportional to 3,133.60, 4,700.40 and 942.08 is: 1,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,700.40 = 942.08 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,700.40 = 942.08/x
  3. Step 3: Cross multiply
    3,133.60x = 4,700.40 × 942.08
  4. Step 4: Simplify right side
    3,133.60x = 4,428,152.83
  5. Step 5: Solve for x
    x = 4,428,152.83/3,133.60
  6. Step 6: Final answer
    x = 1,413.12

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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.