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Finding the Fourth Proportional to 7,985.40, 11,980.43 and 2,363.22

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Solution

The fourth proportional to 7,985.40, 11,980.43 and 2,363.22 is: 3,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.40 : 11,980.43 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    7,985.40/11,980.43 = 2,363.22/x
  3. Step 3: Cross multiply
    7,985.40x = 11,980.43 × 2,363.22
  4. Step 4: Simplify right side
    7,985.40x = 28,312,397.69
  5. Step 5: Solve for x
    x = 28,312,397.69/7,985.40
  6. Step 6: Final answer
    x = 3,545.52

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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.