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Finding the Fourth Proportional to 16,984, 23,439.32 and 9,430.80

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Solution

The fourth proportional to 16,984, 23,439.32 and 9,430.80 is: 13,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 23,439.32 = 9,430.80 : x
  2. Step 2: Convert to fraction form
    16,984/23,439.32 = 9,430.80/x
  3. Step 3: Cross multiply
    16,984x = 23,439.32 × 9,430.80
  4. Step 4: Simplify right side
    16,984x = 221,051,539.06
  5. Step 5: Solve for x
    x = 221,051,539.06/16,984
  6. Step 6: Final answer
    x = 13,015.28

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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.