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Finding the Fourth Proportional to 7,746, 10,687.77 and 4,388.52

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Solution

The fourth proportional to 7,746, 10,687.77 and 4,388.52 is: 6,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 10,687.77 = 4,388.52 : x
  2. Step 2: Convert to fraction form
    7,746/10,687.77 = 4,388.52/x
  3. Step 3: Cross multiply
    7,746x = 10,687.77 × 4,388.52
  4. Step 4: Simplify right side
    7,746x = 46,903,492.40
  5. Step 5: Solve for x
    x = 46,903,492.40/7,746
  6. Step 6: Final answer
    x = 6,055.19

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Why These Related Problems?

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