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Finding the Fourth Proportional to 6,397.68, 8,828.46 and 3,603

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Solution

The fourth proportional to 6,397.68, 8,828.46 and 3,603 is: 4,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.68 : 8,828.46 = 3,603 : x
  2. Step 2: Convert to fraction form
    6,397.68/8,828.46 = 3,603/x
  3. Step 3: Cross multiply
    6,397.68x = 8,828.46 × 3,603
  4. Step 4: Simplify right side
    6,397.68x = 31,808,941.38
  5. Step 5: Solve for x
    x = 31,808,941.38/6,397.68
  6. Step 6: Final answer
    x = 4,971.95

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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.