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Finding the Fourth Proportional to 9,776.84, 13,495.02 and 7,800.98

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Solution

The fourth proportional to 9,776.84, 13,495.02 and 7,800.98 is: 10,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.84 : 13,495.02 = 7,800.98 : x
  2. Step 2: Convert to fraction form
    9,776.84/13,495.02 = 7,800.98/x
  3. Step 3: Cross multiply
    9,776.84x = 13,495.02 × 7,800.98
  4. Step 4: Simplify right side
    9,776.84x = 105,274,381.12
  5. Step 5: Solve for x
    x = 105,274,381.12/9,776.84
  6. Step 6: Final answer
    x = 10,767.73

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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.