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Finding the Fourth Proportional to 9,779.87, 13,495.85 and 5,303.54

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Solution

The fourth proportional to 9,779.87, 13,495.85 and 5,303.54 is: 7,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.87 : 13,495.85 = 5,303.54 : x
  2. Step 2: Convert to fraction form
    9,779.87/13,495.85 = 5,303.54/x
  3. Step 3: Cross multiply
    9,779.87x = 13,495.85 × 5,303.54
  4. Step 4: Simplify right side
    9,779.87x = 71,575,753.79
  5. Step 5: Solve for x
    x = 71,575,753.79/9,779.87
  6. Step 6: Final answer
    x = 7,318.68

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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.