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Finding the Fourth Proportional to 10,485.84, 15,714.42 and 5,798.88

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Solution

The fourth proportional to 10,485.84, 15,714.42 and 5,798.88 is: 8,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.84 : 15,714.42 = 5,798.88 : x
  2. Step 2: Convert to fraction form
    10,485.84/15,714.42 = 5,798.88/x
  3. Step 3: Cross multiply
    10,485.84x = 15,714.42 × 5,798.88
  4. Step 4: Simplify right side
    10,485.84x = 91,126,035.85
  5. Step 5: Solve for x
    x = 91,126,035.85/10,485.84
  6. Step 6: Final answer
    x = 8,690.39

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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.