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Finding the Fourth Proportional to 7,638.63, 11,382.95 and 7,387.79

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Solution

The fourth proportional to 7,638.63, 11,382.95 and 7,387.79 is: 11,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.63 : 11,382.95 = 7,387.79 : x
  2. Step 2: Convert to fraction form
    7,638.63/11,382.95 = 7,387.79/x
  3. Step 3: Cross multiply
    7,638.63x = 11,382.95 × 7,387.79
  4. Step 4: Simplify right side
    7,638.63x = 84,094,750.33
  5. Step 5: Solve for x
    x = 84,094,750.33/7,638.63
  6. Step 6: Final answer
    x = 11,009.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.