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Finding the Fourth Proportional to 30,459.54, 45,679.59 and 9,678.18

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Solution

The fourth proportional to 30,459.54, 45,679.59 and 9,678.18 is: 14,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.54 : 45,679.59 = 9,678.18 : x
  2. Step 2: Convert to fraction form
    30,459.54/45,679.59 = 9,678.18/x
  3. Step 3: Cross multiply
    30,459.54x = 45,679.59 × 9,678.18
  4. Step 4: Simplify right side
    30,459.54x = 442,095,294.35
  5. Step 5: Solve for x
    x = 442,095,294.35/30,459.54
  6. Step 6: Final answer
    x = 14,514.18

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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.