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Finding the Fourth Proportional to 9,779.10, 14,668.65 and 2,853.60

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Solution

The fourth proportional to 9,779.10, 14,668.65 and 2,853.60 is: 4,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.10 : 14,668.65 = 2,853.60 : x
  2. Step 2: Convert to fraction form
    9,779.10/14,668.65 = 2,853.60/x
  3. Step 3: Cross multiply
    9,779.10x = 14,668.65 × 2,853.60
  4. Step 4: Simplify right side
    9,779.10x = 41,858,459.64
  5. Step 5: Solve for x
    x = 41,858,459.64/9,779.10
  6. Step 6: Final answer
    x = 4,280.40

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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.