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Finding the Fourth Proportional to 8,977.76, 12,390.80 and 5,200.32

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Solution

The fourth proportional to 8,977.76, 12,390.80 and 5,200.32 is: 7,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.76 : 12,390.80 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    8,977.76/12,390.80 = 5,200.32/x
  3. Step 3: Cross multiply
    8,977.76x = 12,390.80 × 5,200.32
  4. Step 4: Simplify right side
    8,977.76x = 64,436,125.06
  5. Step 5: Solve for x
    x = 64,436,125.06/8,977.76
  6. Step 6: Final answer
    x = 7,177.31

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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.