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Finding the Fourth Proportional to 9,777, 13,492.32 and 5,587.68

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Solution

The fourth proportional to 9,777, 13,492.32 and 5,587.68 is: 7,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777 : 13,492.32 = 5,587.68 : x
  2. Step 2: Convert to fraction form
    9,777/13,492.32 = 5,587.68/x
  3. Step 3: Cross multiply
    9,777x = 13,492.32 × 5,587.68
  4. Step 4: Simplify right side
    9,777x = 75,390,766.62
  5. Step 5: Solve for x
    x = 75,390,766.62/9,777
  6. Step 6: Final answer
    x = 7,711.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.