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Finding the Fourth Proportional to 11,357.42, 15,673.30 and 6,878.01

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Solution

The fourth proportional to 11,357.42, 15,673.30 and 6,878.01 is: 9,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.42 : 15,673.30 = 6,878.01 : x
  2. Step 2: Convert to fraction form
    11,357.42/15,673.30 = 6,878.01/x
  3. Step 3: Cross multiply
    11,357.42x = 15,673.30 × 6,878.01
  4. Step 4: Simplify right side
    11,357.42x = 107,801,155.71
  5. Step 5: Solve for x
    x = 107,801,155.71/11,357.42
  6. Step 6: Final answer
    x = 9,491.70

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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.