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Finding the Fourth Proportional to 7,284.80, 10,907.76 and 6,410

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Solution

The fourth proportional to 7,284.80, 10,907.76 and 6,410 is: 9,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.80 : 10,907.76 = 6,410 : x
  2. Step 2: Convert to fraction form
    7,284.80/10,907.76 = 6,410/x
  3. Step 3: Cross multiply
    7,284.80x = 10,907.76 × 6,410
  4. Step 4: Simplify right side
    7,284.80x = 69,918,741.60
  5. Step 5: Solve for x
    x = 69,918,741.60/7,284.80
  6. Step 6: Final answer
    x = 9,597.89

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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.