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Finding the Fourth Proportional to 11,409.40, 15,739.14 and 7,437.16

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Solution

The fourth proportional to 11,409.40, 15,739.14 and 7,437.16 is: 10,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.40 : 15,739.14 = 7,437.16 : x
  2. Step 2: Convert to fraction form
    11,409.40/15,739.14 = 7,437.16/x
  3. Step 3: Cross multiply
    11,409.40x = 15,739.14 × 7,437.16
  4. Step 4: Simplify right side
    11,409.40x = 117,054,502.44
  5. Step 5: Solve for x
    x = 117,054,502.44/11,409.40
  6. Step 6: Final answer
    x = 10,259.48

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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.