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Finding the Fourth Proportional to 10,777.77, 14,880.69 and 6,746.22

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Solution

The fourth proportional to 10,777.77, 14,880.69 and 6,746.22 is: 9,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.77 : 14,880.69 = 6,746.22 : x
  2. Step 2: Convert to fraction form
    10,777.77/14,880.69 = 6,746.22/x
  3. Step 3: Cross multiply
    10,777.77x = 14,880.69 × 6,746.22
  4. Step 4: Simplify right side
    10,777.77x = 100,388,408.49
  5. Step 5: Solve for x
    x = 100,388,408.49/10,777.77
  6. Step 6: Final answer
    x = 9,314.40

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1.5x scale

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.