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Finding the Fourth Proportional to 6,465.60, 9,701.10 and 3,868.50

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Solution

The fourth proportional to 6,465.60, 9,701.10 and 3,868.50 is: 5,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.60 : 9,701.10 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    6,465.60/9,701.10 = 3,868.50/x
  3. Step 3: Cross multiply
    6,465.60x = 9,701.10 × 3,868.50
  4. Step 4: Simplify right side
    6,465.60x = 37,528,705.35
  5. Step 5: Solve for x
    x = 37,528,705.35/6,465.60
  6. Step 6: Final answer
    x = 5,804.37

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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.