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Finding the Fourth Proportional to 9,765.64, 13,479.29 and 5,788.94

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Solution

The fourth proportional to 9,765.64, 13,479.29 and 5,788.94 is: 7,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.64 : 13,479.29 = 5,788.94 : x
  2. Step 2: Convert to fraction form
    9,765.64/13,479.29 = 5,788.94/x
  3. Step 3: Cross multiply
    9,765.64x = 13,479.29 × 5,788.94
  4. Step 4: Simplify right side
    9,765.64x = 78,030,801.05
  5. Step 5: Solve for x
    x = 78,030,801.05/9,765.64
  6. Step 6: Final answer
    x = 7,990.34

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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.