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Finding the Fourth Proportional to 9,849.60, 13,575.60 and 7,711.20

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Solution

The fourth proportional to 9,849.60, 13,575.60 and 7,711.20 is: 10,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.60 : 13,575.60 = 7,711.20 : x
  2. Step 2: Convert to fraction form
    9,849.60/13,575.60 = 7,711.20/x
  3. Step 3: Cross multiply
    9,849.60x = 13,575.60 × 7,711.20
  4. Step 4: Simplify right side
    9,849.60x = 104,684,166.72
  5. Step 5: Solve for x
    x = 104,684,166.72/9,849.60
  6. Step 6: Final answer
    x = 10,628.27

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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.