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Finding the Fourth Proportional to 9,779.70, 13,501.17 and 5,805.30

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Solution

The fourth proportional to 9,779.70, 13,501.17 and 5,805.30 is: 8,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.70 : 13,501.17 = 5,805.30 : x
  2. Step 2: Convert to fraction form
    9,779.70/13,501.17 = 5,805.30/x
  3. Step 3: Cross multiply
    9,779.70x = 13,501.17 × 5,805.30
  4. Step 4: Simplify right side
    9,779.70x = 78,378,342.20
  5. Step 5: Solve for x
    x = 78,378,342.20/9,779.70
  6. Step 6: Final answer
    x = 8,014.39

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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.