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Finding the Fourth Proportional to 30,435.38, 45,653.08 and 9,658.88

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Solution

The fourth proportional to 30,435.38, 45,653.08 and 9,658.88 is: 14,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.38 : 45,653.08 = 9,658.88 : x
  2. Step 2: Convert to fraction form
    30,435.38/45,653.08 = 9,658.88/x
  3. Step 3: Cross multiply
    30,435.38x = 45,653.08 × 9,658.88
  4. Step 4: Simplify right side
    30,435.38x = 440,957,368.94
  5. Step 5: Solve for x
    x = 440,957,368.94/30,435.38
  6. Step 6: Final answer
    x = 14,488.32

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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.