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Finding the Fourth Proportional to 14,863.16, 20,509.80 and 8,574.32

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Solution

The fourth proportional to 14,863.16, 20,509.80 and 8,574.32 is: 11,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.16 : 20,509.80 = 8,574.32 : x
  2. Step 2: Convert to fraction form
    14,863.16/20,509.80 = 8,574.32/x
  3. Step 3: Cross multiply
    14,863.16x = 20,509.80 × 8,574.32
  4. Step 4: Simplify right side
    14,863.16x = 175,857,588.34
  5. Step 5: Solve for x
    x = 175,857,588.34/14,863.16
  6. Step 6: Final answer
    x = 11,831.78

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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.