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Finding the Fourth Proportional to 7,779.78, 10,733.04 and 4,376.00

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Solution

The fourth proportional to 7,779.78, 10,733.04 and 4,376.00 is: 6,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.78 : 10,733.04 = 4,376.00 : x
  2. Step 2: Convert to fraction form
    7,779.78/10,733.04 = 4,376.00/x
  3. Step 3: Cross multiply
    7,779.78x = 10,733.04 × 4,376.00
  4. Step 4: Simplify right side
    7,779.78x = 46,967,729.37
  5. Step 5: Solve for x
    x = 46,967,729.37/7,779.78
  6. Step 6: Final answer
    x = 6,037.15

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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.