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Finding the Fourth Proportional to 6,495, 8,963.58 and 3,701.40

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Solution

The fourth proportional to 6,495, 8,963.58 and 3,701.40 is: 5,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495 : 8,963.58 = 3,701.40 : x
  2. Step 2: Convert to fraction form
    6,495/8,963.58 = 3,701.40/x
  3. Step 3: Cross multiply
    6,495x = 8,963.58 × 3,701.40
  4. Step 4: Simplify right side
    6,495x = 33,177,795.01
  5. Step 5: Solve for x
    x = 33,177,795.01/6,495
  6. Step 6: Final answer
    x = 5,108.21

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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.