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Finding the Fourth Proportional to 7,317, 10,947.96 and 5,130

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Solution

The fourth proportional to 7,317, 10,947.96 and 5,130 is: 7,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317 : 10,947.96 = 5,130 : x
  2. Step 2: Convert to fraction form
    7,317/10,947.96 = 5,130/x
  3. Step 3: Cross multiply
    7,317x = 10,947.96 × 5,130
  4. Step 4: Simplify right side
    7,317x = 56,163,034.80
  5. Step 5: Solve for x
    x = 56,163,034.80/7,317
  6. Step 6: Final answer
    x = 7,675.69

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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.