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Finding the Fourth Proportional to 30,294, 45,442.62 and 9,519.12

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Solution

The fourth proportional to 30,294, 45,442.62 and 9,519.12 is: 14,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 45,442.62 = 9,519.12 : x
  2. Step 2: Convert to fraction form
    30,294/45,442.62 = 9,519.12/x
  3. Step 3: Cross multiply
    30,294x = 45,442.62 × 9,519.12
  4. Step 4: Simplify right side
    30,294x = 432,573,752.89
  5. Step 5: Solve for x
    x = 432,573,752.89/30,294
  6. Step 6: Final answer
    x = 14,279.19

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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.