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Finding the Fourth Proportional to 7,602.90, 10,486.72 and 6,975.50

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Solution

The fourth proportional to 7,602.90, 10,486.72 and 6,975.50 is: 9,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.90 : 10,486.72 = 6,975.50 : x
  2. Step 2: Convert to fraction form
    7,602.90/10,486.72 = 6,975.50/x
  3. Step 3: Cross multiply
    7,602.90x = 10,486.72 × 6,975.50
  4. Step 4: Simplify right side
    7,602.90x = 73,150,179.78
  5. Step 5: Solve for x
    x = 73,150,179.78/7,602.90
  6. Step 6: Final answer
    x = 9,621.35

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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.