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Finding the Fourth Proportional to 11,410.76, 15,741.42 and 7,430.40

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Solution

The fourth proportional to 11,410.76, 15,741.42 and 7,430.40 is: 10,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.76 : 15,741.42 = 7,430.40 : x
  2. Step 2: Convert to fraction form
    11,410.76/15,741.42 = 7,430.40/x
  3. Step 3: Cross multiply
    11,410.76x = 15,741.42 × 7,430.40
  4. Step 4: Simplify right side
    11,410.76x = 116,965,047.17
  5. Step 5: Solve for x
    x = 116,965,047.17/11,410.76
  6. Step 6: Final answer
    x = 10,250.42

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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.