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Finding the Fourth Proportional to 9,779.58, 14,641.38 and 6,486.12

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Solution

The fourth proportional to 9,779.58, 14,641.38 and 6,486.12 is: 9,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.58 : 14,641.38 = 6,486.12 : x
  2. Step 2: Convert to fraction form
    9,779.58/14,641.38 = 6,486.12/x
  3. Step 3: Cross multiply
    9,779.58x = 14,641.38 × 6,486.12
  4. Step 4: Simplify right side
    9,779.58x = 94,965,747.65
  5. Step 5: Solve for x
    x = 94,965,747.65/9,779.58
  6. Step 6: Final answer
    x = 9,710.62

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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.