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Finding the Fourth Proportional to 8,685.23, 11,977.88 and 7,006.10

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Solution

The fourth proportional to 8,685.23, 11,977.88 and 7,006.10 is: 9,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.23 : 11,977.88 = 7,006.10 : x
  2. Step 2: Convert to fraction form
    8,685.23/11,977.88 = 7,006.10/x
  3. Step 3: Cross multiply
    8,685.23x = 11,977.88 × 7,006.10
  4. Step 4: Simplify right side
    8,685.23x = 83,918,130.15
  5. Step 5: Solve for x
    x = 83,918,130.15/8,685.23
  6. Step 6: Final answer
    x = 9,662.17

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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.