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Finding the Fourth Proportional to 30,534.34, 45,805.86 and 9,476.20

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Solution

The fourth proportional to 30,534.34, 45,805.86 and 9,476.20 is: 14,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.34 : 45,805.86 = 9,476.20 : x
  2. Step 2: Convert to fraction form
    30,534.34/45,805.86 = 9,476.20/x
  3. Step 3: Cross multiply
    30,534.34x = 45,805.86 × 9,476.20
  4. Step 4: Simplify right side
    30,534.34x = 434,065,490.53
  5. Step 5: Solve for x
    x = 434,065,490.53/30,534.34
  6. Step 6: Final answer
    x = 14,215.65

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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.