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Finding the Fourth Proportional to 13,039.84, 17,990.16 and 9,006.40

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Solution

The fourth proportional to 13,039.84, 17,990.16 and 9,006.40 is: 12,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.84 : 17,990.16 = 9,006.40 : x
  2. Step 2: Convert to fraction form
    13,039.84/17,990.16 = 9,006.40/x
  3. Step 3: Cross multiply
    13,039.84x = 17,990.16 × 9,006.40
  4. Step 4: Simplify right side
    13,039.84x = 162,026,577.02
  5. Step 5: Solve for x
    x = 162,026,577.02/13,039.84
  6. Step 6: Final answer
    x = 12,425.50

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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.