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Finding the Fourth Proportional to 30,265.70, 45,398.88 and 9,209.16

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Solution

The fourth proportional to 30,265.70, 45,398.88 and 9,209.16 is: 13,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.70 : 45,398.88 = 9,209.16 : x
  2. Step 2: Convert to fraction form
    30,265.70/45,398.88 = 9,209.16/x
  3. Step 3: Cross multiply
    30,265.70x = 45,398.88 × 9,209.16
  4. Step 4: Simplify right side
    30,265.70x = 418,085,549.74
  5. Step 5: Solve for x
    x = 418,085,549.74/30,265.70
  6. Step 6: Final answer
    x = 13,813.84

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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.