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Finding the Fourth Proportional to 10,668.89, 15,988.07 and 7,835.50

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Solution

The fourth proportional to 10,668.89, 15,988.07 and 7,835.50 is: 11,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.89 : 15,988.07 = 7,835.50 : x
  2. Step 2: Convert to fraction form
    10,668.89/15,988.07 = 7,835.50/x
  3. Step 3: Cross multiply
    10,668.89x = 15,988.07 × 7,835.50
  4. Step 4: Simplify right side
    10,668.89x = 125,274,522.49
  5. Step 5: Solve for x
    x = 125,274,522.49/10,668.89
  6. Step 6: Final answer
    x = 11,742.04

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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.