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Finding the Fourth Proportional to 11,812.68, 17,730 and 5,973.48

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Solution

The fourth proportional to 11,812.68, 17,730 and 5,973.48 is: 8,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.68 : 17,730 = 5,973.48 : x
  2. Step 2: Convert to fraction form
    11,812.68/17,730 = 5,973.48/x
  3. Step 3: Cross multiply
    11,812.68x = 17,730 × 5,973.48
  4. Step 4: Simplify right side
    11,812.68x = 105,909,800.40
  5. Step 5: Solve for x
    x = 105,909,800.40/11,812.68
  6. Step 6: Final answer
    x = 8,965.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.