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Finding the Fourth Proportional to 7,878.66, 11,808.26 and 4,368.52

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Solution

The fourth proportional to 7,878.66, 11,808.26 and 4,368.52 is: 6,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.66 : 11,808.26 = 4,368.52 : x
  2. Step 2: Convert to fraction form
    7,878.66/11,808.26 = 4,368.52/x
  3. Step 3: Cross multiply
    7,878.66x = 11,808.26 × 4,368.52
  4. Step 4: Simplify right side
    7,878.66x = 51,584,619.98
  5. Step 5: Solve for x
    x = 51,584,619.98/7,878.66
  6. Step 6: Final answer
    x = 6,547.38

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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.