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Finding the Fourth Proportional to 7,767.39, 10,719.95 and 4,784.11

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Solution

The fourth proportional to 7,767.39, 10,719.95 and 4,784.11 is: 6,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.39 : 10,719.95 = 4,784.11 : x
  2. Step 2: Convert to fraction form
    7,767.39/10,719.95 = 4,784.11/x
  3. Step 3: Cross multiply
    7,767.39x = 10,719.95 × 4,784.11
  4. Step 4: Simplify right side
    7,767.39x = 51,285,429.57
  5. Step 5: Solve for x
    x = 51,285,429.57/7,767.39
  6. Step 6: Final answer
    x = 6,602.66

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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.