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Finding the Fourth Proportional to 6,978.60, 10,451.70 and 4,775.40

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Solution

The fourth proportional to 6,978.60, 10,451.70 and 4,775.40 is: 7,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.60 : 10,451.70 = 4,775.40 : x
  2. Step 2: Convert to fraction form
    6,978.60/10,451.70 = 4,775.40/x
  3. Step 3: Cross multiply
    6,978.60x = 10,451.70 × 4,775.40
  4. Step 4: Simplify right side
    6,978.60x = 49,911,048.18
  5. Step 5: Solve for x
    x = 49,911,048.18/6,978.60
  6. Step 6: Final answer
    x = 7,152.01

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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.