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Finding the Fourth Proportional to 30,366.50, 45,549.75 and 9,590

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Solution

The fourth proportional to 30,366.50, 45,549.75 and 9,590 is: 14,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366.50 : 45,549.75 = 9,590 : x
  2. Step 2: Convert to fraction form
    30,366.50/45,549.75 = 9,590/x
  3. Step 3: Cross multiply
    30,366.50x = 45,549.75 × 9,590
  4. Step 4: Simplify right side
    30,366.50x = 436,822,102.50
  5. Step 5: Solve for x
    x = 436,822,102.50/30,366.50
  6. Step 6: Final answer
    x = 14,385

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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.