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Finding the Fourth Proportional to 12,698.16, 17,482.53 and 10,902.09

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Solution

The fourth proportional to 12,698.16, 17,482.53 and 10,902.09 is: 15,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.16 : 17,482.53 = 10,902.09 : x
  2. Step 2: Convert to fraction form
    12,698.16/17,482.53 = 10,902.09/x
  3. Step 3: Cross multiply
    12,698.16x = 17,482.53 × 10,902.09
  4. Step 4: Simplify right side
    12,698.16x = 190,596,115.49
  5. Step 5: Solve for x
    x = 190,596,115.49/12,698.16
  6. Step 6: Final answer
    x = 15,009.74

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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.