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Finding the Fourth Proportional to 7,758.18, 10,636.49 and 7,617.78

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Solution

The fourth proportional to 7,758.18, 10,636.49 and 7,617.78 is: 10,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.18 : 10,636.49 = 7,617.78 : x
  2. Step 2: Convert to fraction form
    7,758.18/10,636.49 = 7,617.78/x
  3. Step 3: Cross multiply
    7,758.18x = 10,636.49 × 7,617.78
  4. Step 4: Simplify right side
    7,758.18x = 81,026,402.70
  5. Step 5: Solve for x
    x = 81,026,402.70/7,758.18
  6. Step 6: Final answer
    x = 10,444.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.