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Finding the Fourth Proportional to 10,005.99, 13,808.80 and 5,757.70

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Solution

The fourth proportional to 10,005.99, 13,808.80 and 5,757.70 is: 7,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.99 : 13,808.80 = 5,757.70 : x
  2. Step 2: Convert to fraction form
    10,005.99/13,808.80 = 5,757.70/x
  3. Step 3: Cross multiply
    10,005.99x = 13,808.80 × 5,757.70
  4. Step 4: Simplify right side
    10,005.99x = 79,506,927.76
  5. Step 5: Solve for x
    x = 79,506,927.76/10,005.99
  6. Step 6: Final answer
    x = 7,945.93

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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.