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Finding the Fourth Proportional to 13,873.70, 19,145.86 and 7,586.06

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Solution

The fourth proportional to 13,873.70, 19,145.86 and 7,586.06 is: 10,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.70 : 19,145.86 = 7,586.06 : x
  2. Step 2: Convert to fraction form
    13,873.70/19,145.86 = 7,586.06/x
  3. Step 3: Cross multiply
    13,873.70x = 19,145.86 × 7,586.06
  4. Step 4: Simplify right side
    13,873.70x = 145,241,642.71
  5. Step 5: Solve for x
    x = 145,241,642.71/13,873.70
  6. Step 6: Final answer
    x = 10,468.85

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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.