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Finding the Fourth Proportional to 10,055.71, 13,882.99 and 7,813.35

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Solution

The fourth proportional to 10,055.71, 13,882.99 and 7,813.35 is: 10,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.71 : 13,882.99 = 7,813.35 : x
  2. Step 2: Convert to fraction form
    10,055.71/13,882.99 = 7,813.35/x
  3. Step 3: Cross multiply
    10,055.71x = 13,882.99 × 7,813.35
  4. Step 4: Simplify right side
    10,055.71x = 108,472,620.85
  5. Step 5: Solve for x
    x = 108,472,620.85/10,055.71
  6. Step 6: Final answer
    x = 10,787.17

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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.