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Finding the Fourth Proportional to 5,307.76, 7,959 and 1,609.24

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Solution

The fourth proportional to 5,307.76, 7,959 and 1,609.24 is: 2,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.76 : 7,959 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    5,307.76/7,959 = 1,609.24/x
  3. Step 3: Cross multiply
    5,307.76x = 7,959 × 1,609.24
  4. Step 4: Simplify right side
    5,307.76x = 12,807,941.16
  5. Step 5: Solve for x
    x = 12,807,941.16/5,307.76
  6. Step 6: Final answer
    x = 2,413.06

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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.