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Finding the Fourth Proportional to 7,712.37, 10,643.00 and 4,175.51

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Solution

The fourth proportional to 7,712.37, 10,643.00 and 4,175.51 is: 5,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.37 : 10,643.00 = 4,175.51 : x
  2. Step 2: Convert to fraction form
    7,712.37/10,643.00 = 4,175.51/x
  3. Step 3: Cross multiply
    7,712.37x = 10,643.00 × 4,175.51
  4. Step 4: Simplify right side
    7,712.37x = 44,439,878.84
  5. Step 5: Solve for x
    x = 44,439,878.84/7,712.37
  6. Step 6: Final answer
    x = 5,762.16

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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.