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Finding the Fourth Proportional to 6,688.80, 9,238.32 and 6,300

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Solution

The fourth proportional to 6,688.80, 9,238.32 and 6,300 is: 8,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.80 : 9,238.32 = 6,300 : x
  2. Step 2: Convert to fraction form
    6,688.80/9,238.32 = 6,300/x
  3. Step 3: Cross multiply
    6,688.80x = 9,238.32 × 6,300
  4. Step 4: Simplify right side
    6,688.80x = 58,201,416
  5. Step 5: Solve for x
    x = 58,201,416/6,688.80
  6. Step 6: Final answer
    x = 8,701.32

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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.