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Finding the Fourth Proportional to 7,091.63, 9,779.19 and 4,700.77

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Solution

The fourth proportional to 7,091.63, 9,779.19 and 4,700.77 is: 6,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.63 : 9,779.19 = 4,700.77 : x
  2. Step 2: Convert to fraction form
    7,091.63/9,779.19 = 4,700.77/x
  3. Step 3: Cross multiply
    7,091.63x = 9,779.19 × 4,700.77
  4. Step 4: Simplify right side
    7,091.63x = 45,969,707.34
  5. Step 5: Solve for x
    x = 45,969,707.34/7,091.63
  6. Step 6: Final answer
    x = 6,482.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.