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Finding the Fourth Proportional to 15,116.16, 20,852.64 and 9,813.92

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Solution

The fourth proportional to 15,116.16, 20,852.64 and 9,813.92 is: 13,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.16 : 20,852.64 = 9,813.92 : x
  2. Step 2: Convert to fraction form
    15,116.16/20,852.64 = 9,813.92/x
  3. Step 3: Cross multiply
    15,116.16x = 20,852.64 × 9,813.92
  4. Step 4: Simplify right side
    15,116.16x = 204,646,140.75
  5. Step 5: Solve for x
    x = 204,646,140.75/15,116.16
  6. Step 6: Final answer
    x = 13,538.24

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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.