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Finding the Fourth Proportional to 11,866.92, 16,357.50 and 9,345.03

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Solution

The fourth proportional to 11,866.92, 16,357.50 and 9,345.03 is: 12,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.92 : 16,357.50 = 9,345.03 : x
  2. Step 2: Convert to fraction form
    11,866.92/16,357.50 = 9,345.03/x
  3. Step 3: Cross multiply
    11,866.92x = 16,357.50 × 9,345.03
  4. Step 4: Simplify right side
    11,866.92x = 152,861,328.23
  5. Step 5: Solve for x
    x = 152,861,328.23/11,866.92
  6. Step 6: Final answer
    x = 12,881.30

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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.