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Finding the Fourth Proportional to 13,774.61, 19,008.88 and 7,807.41

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Solution

The fourth proportional to 13,774.61, 19,008.88 and 7,807.41 is: 10,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.61 : 19,008.88 = 7,807.41 : x
  2. Step 2: Convert to fraction form
    13,774.61/19,008.88 = 7,807.41/x
  3. Step 3: Cross multiply
    13,774.61x = 19,008.88 × 7,807.41
  4. Step 4: Simplify right side
    13,774.61x = 148,410,119.80
  5. Step 5: Solve for x
    x = 148,410,119.80/13,774.61
  6. Step 6: Final answer
    x = 10,774.18

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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.