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Finding the Fourth Proportional to 10,739.79, 14,814.10 and 7,760.01

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Solution

The fourth proportional to 10,739.79, 14,814.10 and 7,760.01 is: 10,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.79 : 14,814.10 = 7,760.01 : x
  2. Step 2: Convert to fraction form
    10,739.79/14,814.10 = 7,760.01/x
  3. Step 3: Cross multiply
    10,739.79x = 14,814.10 × 7,760.01
  4. Step 4: Simplify right side
    10,739.79x = 114,957,564.14
  5. Step 5: Solve for x
    x = 114,957,564.14/10,739.79
  6. Step 6: Final answer
    x = 10,703.89

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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.