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Finding the Fourth Proportional to 16,913.12, 23,344.08 and 9,840.64

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Solution

The fourth proportional to 16,913.12, 23,344.08 and 9,840.64 is: 13,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913.12 : 23,344.08 = 9,840.64 : x
  2. Step 2: Convert to fraction form
    16,913.12/23,344.08 = 9,840.64/x
  3. Step 3: Cross multiply
    16,913.12x = 23,344.08 × 9,840.64
  4. Step 4: Simplify right side
    16,913.12x = 229,720,687.41
  5. Step 5: Solve for x
    x = 229,720,687.41/16,913.12
  6. Step 6: Final answer
    x = 13,582.40

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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.