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Finding the Fourth Proportional to 7,688.60, 11,537.14 and 7,130.90

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Solution

The fourth proportional to 7,688.60, 11,537.14 and 7,130.90 is: 10,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.60 : 11,537.14 = 7,130.90 : x
  2. Step 2: Convert to fraction form
    7,688.60/11,537.14 = 7,130.90/x
  3. Step 3: Cross multiply
    7,688.60x = 11,537.14 × 7,130.90
  4. Step 4: Simplify right side
    7,688.60x = 82,270,191.63
  5. Step 5: Solve for x
    x = 82,270,191.63/7,688.60
  6. Step 6: Final answer
    x = 10,700.28

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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.