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Finding the Fourth Proportional to 16,978.12, 23,431.08 and 9,903.04

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Solution

The fourth proportional to 16,978.12, 23,431.08 and 9,903.04 is: 13,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.12 : 23,431.08 = 9,903.04 : x
  2. Step 2: Convert to fraction form
    16,978.12/23,431.08 = 9,903.04/x
  3. Step 3: Cross multiply
    16,978.12x = 23,431.08 × 9,903.04
  4. Step 4: Simplify right side
    16,978.12x = 232,038,922.48
  5. Step 5: Solve for x
    x = 232,038,922.48/16,978.12
  6. Step 6: Final answer
    x = 13,666.94

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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.