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Finding the Fourth Proportional to 12,641.64, 17,448.90 and 7,335.40

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Solution

The fourth proportional to 12,641.64, 17,448.90 and 7,335.40 is: 10,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.64 : 17,448.90 = 7,335.40 : x
  2. Step 2: Convert to fraction form
    12,641.64/17,448.90 = 7,335.40/x
  3. Step 3: Cross multiply
    12,641.64x = 17,448.90 × 7,335.40
  4. Step 4: Simplify right side
    12,641.64x = 127,994,661.06
  5. Step 5: Solve for x
    x = 127,994,661.06/12,641.64
  6. Step 6: Final answer
    x = 10,124.85

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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.