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Finding the Fourth Proportional to 7,712.35, 10,643.00 and 4,175.48

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Solution

The fourth proportional to 7,712.35, 10,643.00 and 4,175.48 is: 5,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.35 : 10,643.00 = 4,175.48 : x
  2. Step 2: Convert to fraction form
    7,712.35/10,643.00 = 4,175.48/x
  3. Step 3: Cross multiply
    7,712.35x = 10,643.00 × 4,175.48
  4. Step 4: Simplify right side
    7,712.35x = 44,439,639.37
  5. Step 5: Solve for x
    x = 44,439,639.37/7,712.35
  6. Step 6: Final answer
    x = 5,762.14

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