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Finding the Fourth Proportional to 5,207.67, 7,811.49 and 1,312.08

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Solution

The fourth proportional to 5,207.67, 7,811.49 and 1,312.08 is: 1,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.67 : 7,811.49 = 1,312.08 : x
  2. Step 2: Convert to fraction form
    5,207.67/7,811.49 = 1,312.08/x
  3. Step 3: Cross multiply
    5,207.67x = 7,811.49 × 1,312.08
  4. Step 4: Simplify right side
    5,207.67x = 10,249,299.80
  5. Step 5: Solve for x
    x = 10,249,299.80/5,207.67
  6. Step 6: Final answer
    x = 1,968.12

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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.