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Finding the Fourth Proportional to 13,974, 20,963.16 and 5,210.16

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Solution

The fourth proportional to 13,974, 20,963.16 and 5,210.16 is: 7,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 20,963.16 = 5,210.16 : x
  2. Step 2: Convert to fraction form
    13,974/20,963.16 = 5,210.16/x
  3. Step 3: Cross multiply
    13,974x = 20,963.16 × 5,210.16
  4. Step 4: Simplify right side
    13,974x = 109,221,417.71
  5. Step 5: Solve for x
    x = 109,221,417.71/13,974
  6. Step 6: Final answer
    x = 7,816.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.