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Finding the Fourth Proportional to 7,812.12, 10,779.24 and 5,296.24

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Solution

The fourth proportional to 7,812.12, 10,779.24 and 5,296.24 is: 7,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.12 : 10,779.24 = 5,296.24 : x
  2. Step 2: Convert to fraction form
    7,812.12/10,779.24 = 5,296.24/x
  3. Step 3: Cross multiply
    7,812.12x = 10,779.24 × 5,296.24
  4. Step 4: Simplify right side
    7,812.12x = 57,089,442.06
  5. Step 5: Solve for x
    x = 57,089,442.06/7,812.12
  6. Step 6: Final answer
    x = 7,307.80

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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.