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Finding the Fourth Proportional to 9,779.20, 14,647.20 and 8,051.20

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Solution

The fourth proportional to 9,779.20, 14,647.20 and 8,051.20 is: 12,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.20 : 14,647.20 = 8,051.20 : x
  2. Step 2: Convert to fraction form
    9,779.20/14,647.20 = 8,051.20/x
  3. Step 3: Cross multiply
    9,779.20x = 14,647.20 × 8,051.20
  4. Step 4: Simplify right side
    9,779.20x = 117,927,536.64
  5. Step 5: Solve for x
    x = 117,927,536.64/9,779.20
  6. Step 6: Final answer
    x = 12,059.02

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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.