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Finding the Fourth Proportional to 7,813.44, 11,637.48 and 7,775.76

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Solution

The fourth proportional to 7,813.44, 11,637.48 and 7,775.76 is: 11,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.44 : 11,637.48 = 7,775.76 : x
  2. Step 2: Convert to fraction form
    7,813.44/11,637.48 = 7,775.76/x
  3. Step 3: Cross multiply
    7,813.44x = 11,637.48 × 7,775.76
  4. Step 4: Simplify right side
    7,813.44x = 90,490,251.48
  5. Step 5: Solve for x
    x = 90,490,251.48/7,813.44
  6. Step 6: Final answer
    x = 11,581.36

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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.