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Finding the Fourth Proportional to 7,038.53, 9,713.08 and 3,851.81

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Solution

The fourth proportional to 7,038.53, 9,713.08 and 3,851.81 is: 5,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.53 : 9,713.08 = 3,851.81 : x
  2. Step 2: Convert to fraction form
    7,038.53/9,713.08 = 3,851.81/x
  3. Step 3: Cross multiply
    7,038.53x = 9,713.08 × 3,851.81
  4. Step 4: Simplify right side
    7,038.53x = 37,412,890.11
  5. Step 5: Solve for x
    x = 37,412,890.11/7,038.53
  6. Step 6: Final answer
    x = 5,315.44

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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.