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Finding the Fourth Proportional to 7,765.36, 10,709.12 and 5,780.88

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Solution

The fourth proportional to 7,765.36, 10,709.12 and 5,780.88 is: 7,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.36 : 10,709.12 = 5,780.88 : x
  2. Step 2: Convert to fraction form
    7,765.36/10,709.12 = 5,780.88/x
  3. Step 3: Cross multiply
    7,765.36x = 10,709.12 × 5,780.88
  4. Step 4: Simplify right side
    7,765.36x = 61,908,137.63
  5. Step 5: Solve for x
    x = 61,908,137.63/7,765.36
  6. Step 6: Final answer
    x = 7,972.35

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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.