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Finding the Fourth Proportional to 9,779.42, 13,496.38 and 8,258.60

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Solution

The fourth proportional to 9,779.42, 13,496.38 and 8,258.60 is: 11,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.42 : 13,496.38 = 8,258.60 : x
  2. Step 2: Convert to fraction form
    9,779.42/13,496.38 = 8,258.60/x
  3. Step 3: Cross multiply
    9,779.42x = 13,496.38 × 8,258.60
  4. Step 4: Simplify right side
    9,779.42x = 111,461,203.87
  5. Step 5: Solve for x
    x = 111,461,203.87/9,779.42
  6. Step 6: Final answer
    x = 11,397.53

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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.