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Finding the Fourth Proportional to 30,429, 45,643.68 and 8,240.76

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Solution

The fourth proportional to 30,429, 45,643.68 and 8,240.76 is: 12,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429 : 45,643.68 = 8,240.76 : x
  2. Step 2: Convert to fraction form
    30,429/45,643.68 = 8,240.76/x
  3. Step 3: Cross multiply
    30,429x = 45,643.68 × 8,240.76
  4. Step 4: Simplify right side
    30,429x = 376,138,612.40
  5. Step 5: Solve for x
    x = 376,138,612.40/30,429
  6. Step 6: Final answer
    x = 12,361.19

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Double scale
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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.