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Finding the Fourth Proportional to 7,769.40, 11,654.10 and 7,607.40

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Solution

The fourth proportional to 7,769.40, 11,654.10 and 7,607.40 is: 11,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.40 : 11,654.10 = 7,607.40 : x
  2. Step 2: Convert to fraction form
    7,769.40/11,654.10 = 7,607.40/x
  3. Step 3: Cross multiply
    7,769.40x = 11,654.10 × 7,607.40
  4. Step 4: Simplify right side
    7,769.40x = 88,657,400.34
  5. Step 5: Solve for x
    x = 88,657,400.34/7,769.40
  6. Step 6: Final answer
    x = 11,411.10

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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.