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Finding the Fourth Proportional to 10,765.94, 14,856.86 and 6,290.37

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Solution

The fourth proportional to 10,765.94, 14,856.86 and 6,290.37 is: 8,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.94 : 14,856.86 = 6,290.37 : x
  2. Step 2: Convert to fraction form
    10,765.94/14,856.86 = 6,290.37/x
  3. Step 3: Cross multiply
    10,765.94x = 14,856.86 × 6,290.37
  4. Step 4: Simplify right side
    10,765.94x = 93,455,162.16
  5. Step 5: Solve for x
    x = 93,455,162.16/10,765.94
  6. Step 6: Final answer
    x = 8,680.64

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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.