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Finding the Fourth Proportional to 14,920.96, 20,575.20 and 12,804.16

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Solution

The fourth proportional to 14,920.96, 20,575.20 and 12,804.16 is: 17,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.96 : 20,575.20 = 12,804.16 : x
  2. Step 2: Convert to fraction form
    14,920.96/20,575.20 = 12,804.16/x
  3. Step 3: Cross multiply
    14,920.96x = 20,575.20 × 12,804.16
  4. Step 4: Simplify right side
    14,920.96x = 263,448,152.83
  5. Step 5: Solve for x
    x = 263,448,152.83/14,920.96
  6. Step 6: Final answer
    x = 17,656.25

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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.