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Finding the Fourth Proportional to 14,230.65, 19,639.48 and 7,857.82

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Solution

The fourth proportional to 14,230.65, 19,639.48 and 7,857.82 is: 10,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.65 : 19,639.48 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    14,230.65/19,639.48 = 7,857.82/x
  3. Step 3: Cross multiply
    14,230.65x = 19,639.48 × 7,857.82
  4. Step 4: Simplify right side
    14,230.65x = 154,323,463.14
  5. Step 5: Solve for x
    x = 154,323,463.14/14,230.65
  6. Step 6: Final answer
    x = 10,844.45

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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.