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Finding the Fourth Proportional to 7,777.44, 10,726.48 and 4,787.92

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Solution

The fourth proportional to 7,777.44, 10,726.48 and 4,787.92 is: 6,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.44 : 10,726.48 = 4,787.92 : x
  2. Step 2: Convert to fraction form
    7,777.44/10,726.48 = 4,787.92/x
  3. Step 3: Cross multiply
    7,777.44x = 10,726.48 × 4,787.92
  4. Step 4: Simplify right side
    7,777.44x = 51,357,528.12
  5. Step 5: Solve for x
    x = 51,357,528.12/7,777.44
  6. Step 6: Final answer
    x = 6,603.40

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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.