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Finding the Fourth Proportional to 7,712, 11,568.54 and 3,095

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Solution

The fourth proportional to 7,712, 11,568.54 and 3,095 is: 4,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 11,568.54 = 3,095 : x
  2. Step 2: Convert to fraction form
    7,712/11,568.54 = 3,095/x
  3. Step 3: Cross multiply
    7,712x = 11,568.54 × 3,095
  4. Step 4: Simplify right side
    7,712x = 35,804,631.30
  5. Step 5: Solve for x
    x = 35,804,631.30/7,712
  6. Step 6: Final answer
    x = 4,642.72

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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.