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Finding the Fourth Proportional to 9,779.57, 13,494.51 and 5,531.21

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Solution

The fourth proportional to 9,779.57, 13,494.51 and 5,531.21 is: 7,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.57 : 13,494.51 = 5,531.21 : x
  2. Step 2: Convert to fraction form
    9,779.57/13,494.51 = 5,531.21/x
  3. Step 3: Cross multiply
    9,779.57x = 13,494.51 × 5,531.21
  4. Step 4: Simplify right side
    9,779.57x = 74,640,968.66
  5. Step 5: Solve for x
    x = 74,640,968.66/9,779.57
  6. Step 6: Final answer
    x = 7,632.34

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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.