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Finding the Fourth Proportional to 12,779.04, 19,161 and 4,978.74

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Solution

The fourth proportional to 12,779.04, 19,161 and 4,978.74 is: 7,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.04 : 19,161 = 4,978.74 : x
  2. Step 2: Convert to fraction form
    12,779.04/19,161 = 4,978.74/x
  3. Step 3: Cross multiply
    12,779.04x = 19,161 × 4,978.74
  4. Step 4: Simplify right side
    12,779.04x = 95,397,637.14
  5. Step 5: Solve for x
    x = 95,397,637.14/12,779.04
  6. Step 6: Final answer
    x = 7,465.16

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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.