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Finding the Fourth Proportional to 8,973.37, 12,357.12 and 6,980.57

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Solution

The fourth proportional to 8,973.37, 12,357.12 and 6,980.57 is: 9,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.37 : 12,357.12 = 6,980.57 : x
  2. Step 2: Convert to fraction form
    8,973.37/12,357.12 = 6,980.57/x
  3. Step 3: Cross multiply
    8,973.37x = 12,357.12 × 6,980.57
  4. Step 4: Simplify right side
    8,973.37x = 86,259,741.16
  5. Step 5: Solve for x
    x = 86,259,741.16/8,973.37
  6. Step 6: Final answer
    x = 9,612.86

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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.