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Finding the Fourth Proportional to 7,785.84, 10,748.16 and 4,804.20

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Solution

The fourth proportional to 7,785.84, 10,748.16 and 4,804.20 is: 6,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.84 : 10,748.16 = 4,804.20 : x
  2. Step 2: Convert to fraction form
    7,785.84/10,748.16 = 4,804.20/x
  3. Step 3: Cross multiply
    7,785.84x = 10,748.16 × 4,804.20
  4. Step 4: Simplify right side
    7,785.84x = 51,636,310.27
  5. Step 5: Solve for x
    x = 51,636,310.27/7,785.84
  6. Step 6: Final answer
    x = 6,632.08

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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.