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Finding the Fourth Proportional to 6,485.84, 9,710.40 and 5,041.88

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Solution

The fourth proportional to 6,485.84, 9,710.40 and 5,041.88 is: 7,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.84 : 9,710.40 = 5,041.88 : x
  2. Step 2: Convert to fraction form
    6,485.84/9,710.40 = 5,041.88/x
  3. Step 3: Cross multiply
    6,485.84x = 9,710.40 × 5,041.88
  4. Step 4: Simplify right side
    6,485.84x = 48,958,671.55
  5. Step 5: Solve for x
    x = 48,958,671.55/6,485.84
  6. Step 6: Final answer
    x = 7,548.55

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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.