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Finding the Fourth Proportional to 9,779, 13,448.58 and 7,765.88

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Solution

The fourth proportional to 9,779, 13,448.58 and 7,765.88 is: 10,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779 : 13,448.58 = 7,765.88 : x
  2. Step 2: Convert to fraction form
    9,779/13,448.58 = 7,765.88/x
  3. Step 3: Cross multiply
    9,779x = 13,448.58 × 7,765.88
  4. Step 4: Simplify right side
    9,779x = 104,440,058.45
  5. Step 5: Solve for x
    x = 104,440,058.45/9,779
  6. Step 6: Final answer
    x = 10,680.03

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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.