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Finding the Fourth Proportional to 7,980.65, 11,008.31 and 5,738.98

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Solution

The fourth proportional to 7,980.65, 11,008.31 and 5,738.98 is: 7,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.65 : 11,008.31 = 5,738.98 : x
  2. Step 2: Convert to fraction form
    7,980.65/11,008.31 = 5,738.98/x
  3. Step 3: Cross multiply
    7,980.65x = 11,008.31 × 5,738.98
  4. Step 4: Simplify right side
    7,980.65x = 63,176,483.77
  5. Step 5: Solve for x
    x = 63,176,483.77/7,980.65
  6. Step 6: Final answer
    x = 7,916.20

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1.5x scale

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.