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Finding the Fourth Proportional to 13,049, 18,001.64 and 7,740.80

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Solution

The fourth proportional to 13,049, 18,001.64 and 7,740.80 is: 10,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049 : 18,001.64 = 7,740.80 : x
  2. Step 2: Convert to fraction form
    13,049/18,001.64 = 7,740.80/x
  3. Step 3: Cross multiply
    13,049x = 18,001.64 × 7,740.80
  4. Step 4: Simplify right side
    13,049x = 139,347,094.91
  5. Step 5: Solve for x
    x = 139,347,094.91/13,049
  6. Step 6: Final answer
    x = 10,678.76

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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.