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Finding the Fourth Proportional to 12,779.74, 17,637.24 and 7,474.24

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Solution

The fourth proportional to 12,779.74, 17,637.24 and 7,474.24 is: 10,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.74 : 17,637.24 = 7,474.24 : x
  2. Step 2: Convert to fraction form
    12,779.74/17,637.24 = 7,474.24/x
  3. Step 3: Cross multiply
    12,779.74x = 17,637.24 × 7,474.24
  4. Step 4: Simplify right side
    12,779.74x = 131,824,964.70
  5. Step 5: Solve for x
    x = 131,824,964.70/12,779.74
  6. Step 6: Final answer
    x = 10,315.15

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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.