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Finding the Fourth Proportional to 9,777.84, 13,496.40 and 7,801.98

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Solution

The fourth proportional to 9,777.84, 13,496.40 and 7,801.98 is: 10,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.84 : 13,496.40 = 7,801.98 : x
  2. Step 2: Convert to fraction form
    9,777.84/13,496.40 = 7,801.98/x
  3. Step 3: Cross multiply
    9,777.84x = 13,496.40 × 7,801.98
  4. Step 4: Simplify right side
    9,777.84x = 105,298,642.87
  5. Step 5: Solve for x
    x = 105,298,642.87/9,777.84
  6. Step 6: Final answer
    x = 10,769.11

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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.