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Finding the Fourth Proportional to 8,566.83, 12,778.24 and 7,779.39

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Solution

The fourth proportional to 8,566.83, 12,778.24 and 7,779.39 is: 11,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.83 : 12,778.24 = 7,779.39 : x
  2. Step 2: Convert to fraction form
    8,566.83/12,778.24 = 7,779.39/x
  3. Step 3: Cross multiply
    8,566.83x = 12,778.24 × 7,779.39
  4. Step 4: Simplify right side
    8,566.83x = 99,406,893.03
  5. Step 5: Solve for x
    x = 99,406,893.03/8,566.83
  6. Step 6: Final answer
    x = 11,603.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.