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Finding the Fourth Proportional to 11,420.80, 15,758.40 and 7,878.40

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Solution

The fourth proportional to 11,420.80, 15,758.40 and 7,878.40 is: 10,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.80 : 15,758.40 = 7,878.40 : x
  2. Step 2: Convert to fraction form
    11,420.80/15,758.40 = 7,878.40/x
  3. Step 3: Cross multiply
    11,420.80x = 15,758.40 × 7,878.40
  4. Step 4: Simplify right side
    11,420.80x = 124,150,978.56
  5. Step 5: Solve for x
    x = 124,150,978.56/11,420.80
  6. Step 6: Final answer
    x = 10,870.60

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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.