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Finding the Fourth Proportional to 7,779.65, 10,736.06 and 4,242.85

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Solution

The fourth proportional to 7,779.65, 10,736.06 and 4,242.85 is: 5,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.65 : 10,736.06 = 4,242.85 : x
  2. Step 2: Convert to fraction form
    7,779.65/10,736.06 = 4,242.85/x
  3. Step 3: Cross multiply
    7,779.65x = 10,736.06 × 4,242.85
  4. Step 4: Simplify right side
    7,779.65x = 45,551,492.17
  5. Step 5: Solve for x
    x = 45,551,492.17/7,779.65
  6. Step 6: Final answer
    x = 5,855.21

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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.