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Finding the Fourth Proportional to 9,898.92, 13,660.92 and 5,423.06

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Solution

The fourth proportional to 9,898.92, 13,660.92 and 5,423.06 is: 7,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.92 : 13,660.92 = 5,423.06 : x
  2. Step 2: Convert to fraction form
    9,898.92/13,660.92 = 5,423.06/x
  3. Step 3: Cross multiply
    9,898.92x = 13,660.92 × 5,423.06
  4. Step 4: Simplify right side
    9,898.92x = 74,083,988.82
  5. Step 5: Solve for x
    x = 74,083,988.82/9,898.92
  6. Step 6: Final answer
    x = 7,484.05

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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.