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Finding the Fourth Proportional to 10,143, 13,996.80 and 5,666.94

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Solution

The fourth proportional to 10,143, 13,996.80 and 5,666.94 is: 7,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 13,996.80 = 5,666.94 : x
  2. Step 2: Convert to fraction form
    10,143/13,996.80 = 5,666.94/x
  3. Step 3: Cross multiply
    10,143x = 13,996.80 × 5,666.94
  4. Step 4: Simplify right side
    10,143x = 79,319,025.79
  5. Step 5: Solve for x
    x = 79,319,025.79/10,143
  6. Step 6: Final answer
    x = 7,820.08

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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.