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Finding the Fourth Proportional to 30,116.63, 45,171.36 and 7,931.81

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Solution

The fourth proportional to 30,116.63, 45,171.36 and 7,931.81 is: 11,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116.63 : 45,171.36 = 7,931.81 : x
  2. Step 2: Convert to fraction form
    30,116.63/45,171.36 = 7,931.81/x
  3. Step 3: Cross multiply
    30,116.63x = 45,171.36 × 7,931.81
  4. Step 4: Simplify right side
    30,116.63x = 358,290,419.10
  5. Step 5: Solve for x
    x = 358,290,419.10/30,116.63
  6. Step 6: Final answer
    x = 11,896.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.