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Finding the Fourth Proportional to 6,364.40, 8,802.84 and 5,628.40

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Solution

The fourth proportional to 6,364.40, 8,802.84 and 5,628.40 is: 7,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.40 : 8,802.84 = 5,628.40 : x
  2. Step 2: Convert to fraction form
    6,364.40/8,802.84 = 5,628.40/x
  3. Step 3: Cross multiply
    6,364.40x = 8,802.84 × 5,628.40
  4. Step 4: Simplify right side
    6,364.40x = 49,545,904.66
  5. Step 5: Solve for x
    x = 49,545,904.66/6,364.40
  6. Step 6: Final answer
    x = 7,784.85

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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.