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Finding the Fourth Proportional to 18,312.80, 27,470.10 and 9,564.80

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Solution

The fourth proportional to 18,312.80, 27,470.10 and 9,564.80 is: 14,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.80 : 27,470.10 = 9,564.80 : x
  2. Step 2: Convert to fraction form
    18,312.80/27,470.10 = 9,564.80/x
  3. Step 3: Cross multiply
    18,312.80x = 27,470.10 × 9,564.80
  4. Step 4: Simplify right side
    18,312.80x = 262,746,012.48
  5. Step 5: Solve for x
    x = 262,746,012.48/18,312.80
  6. Step 6: Final answer
    x = 14,347.67

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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.