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Finding the Fourth Proportional to 10,477.44, 15,716.16 and 4,640

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Solution

The fourth proportional to 10,477.44, 15,716.16 and 4,640 is: 6,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.44 : 15,716.16 = 4,640 : x
  2. Step 2: Convert to fraction form
    10,477.44/15,716.16 = 4,640/x
  3. Step 3: Cross multiply
    10,477.44x = 15,716.16 × 4,640
  4. Step 4: Simplify right side
    10,477.44x = 72,922,982.40
  5. Step 5: Solve for x
    x = 72,922,982.40/10,477.44
  6. Step 6: Final answer
    x = 6,960

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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.