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Finding the Fourth Proportional to 7,980.77, 11,967.15 and 4,650.10

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Solution

The fourth proportional to 7,980.77, 11,967.15 and 4,650.10 is: 6,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.77 : 11,967.15 = 4,650.10 : x
  2. Step 2: Convert to fraction form
    7,980.77/11,967.15 = 4,650.10/x
  3. Step 3: Cross multiply
    7,980.77x = 11,967.15 × 4,650.10
  4. Step 4: Simplify right side
    7,980.77x = 55,648,444.22
  5. Step 5: Solve for x
    x = 55,648,444.22/7,980.77
  6. Step 6: Final answer
    x = 6,972.82

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1.5x scale

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.