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Finding the Fourth Proportional to 9,892.48, 14,819.08 and 5,205.40

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Solution

The fourth proportional to 9,892.48, 14,819.08 and 5,205.40 is: 7,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.48 : 14,819.08 = 5,205.40 : x
  2. Step 2: Convert to fraction form
    9,892.48/14,819.08 = 5,205.40/x
  3. Step 3: Cross multiply
    9,892.48x = 14,819.08 × 5,205.40
  4. Step 4: Simplify right side
    9,892.48x = 77,139,239.03
  5. Step 5: Solve for x
    x = 77,139,239.03/9,892.48
  6. Step 6: Final answer
    x = 7,797.77

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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.