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Finding the Fourth Proportional to 5,303, 7,954.52 and 1,605.24

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Solution

The fourth proportional to 5,303, 7,954.52 and 1,605.24 is: 2,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303 : 7,954.52 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    5,303/7,954.52 = 1,605.24/x
  3. Step 3: Cross multiply
    5,303x = 7,954.52 × 1,605.24
  4. Step 4: Simplify right side
    5,303x = 12,768,913.68
  5. Step 5: Solve for x
    x = 12,768,913.68/5,303
  6. Step 6: Final answer
    x = 2,407.87

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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.