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Finding the Fourth Proportional to 31,510, 43,482.40 and 17,169.88

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Solution

The fourth proportional to 31,510, 43,482.40 and 17,169.88 is: 23,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510 : 43,482.40 = 17,169.88 : x
  2. Step 2: Convert to fraction form
    31,510/43,482.40 = 17,169.88/x
  3. Step 3: Cross multiply
    31,510x = 43,482.40 × 17,169.88
  4. Step 4: Simplify right side
    31,510x = 746,587,590.11
  5. Step 5: Solve for x
    x = 746,587,590.11/31,510
  6. Step 6: Final answer
    x = 23,693.67

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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.