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Finding the Fourth Proportional to 9,779.55, 13,496.36 and 5,531.00

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Solution

The fourth proportional to 9,779.55, 13,496.36 and 5,531.00 is: 7,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.55 : 13,496.36 = 5,531.00 : x
  2. Step 2: Convert to fraction form
    9,779.55/13,496.36 = 5,531.00/x
  3. Step 3: Cross multiply
    9,779.55x = 13,496.36 × 5,531.00
  4. Step 4: Simplify right side
    9,779.55x = 74,648,272.02
  5. Step 5: Solve for x
    x = 74,648,272.02/9,779.55
  6. Step 6: Final answer
    x = 7,633.10

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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.