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Finding the Fourth Proportional to 9,779.60, 14,680.20 and 5,405.60

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Solution

The fourth proportional to 9,779.60, 14,680.20 and 5,405.60 is: 8,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.60 : 14,680.20 = 5,405.60 : x
  2. Step 2: Convert to fraction form
    9,779.60/14,680.20 = 5,405.60/x
  3. Step 3: Cross multiply
    9,779.60x = 14,680.20 × 5,405.60
  4. Step 4: Simplify right side
    9,779.60x = 79,355,289.12
  5. Step 5: Solve for x
    x = 79,355,289.12/9,779.60
  6. Step 6: Final answer
    x = 8,114.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.