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Finding the Fourth Proportional to 14,804.64, 20,421 and 9,497.52

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Solution

The fourth proportional to 14,804.64, 20,421 and 9,497.52 is: 13,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.64 : 20,421 = 9,497.52 : x
  2. Step 2: Convert to fraction form
    14,804.64/20,421 = 9,497.52/x
  3. Step 3: Cross multiply
    14,804.64x = 20,421 × 9,497.52
  4. Step 4: Simplify right side
    14,804.64x = 193,948,855.92
  5. Step 5: Solve for x
    x = 193,948,855.92/14,804.64
  6. Step 6: Final answer
    x = 13,100.55

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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.