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Finding the Fourth Proportional to 10,409.04, 15,669.72 and 9,505.08

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Solution

The fourth proportional to 10,409.04, 15,669.72 and 9,505.08 is: 14,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.04 : 15,669.72 = 9,505.08 : x
  2. Step 2: Convert to fraction form
    10,409.04/15,669.72 = 9,505.08/x
  3. Step 3: Cross multiply
    10,409.04x = 15,669.72 × 9,505.08
  4. Step 4: Simplify right side
    10,409.04x = 148,941,942.18
  5. Step 5: Solve for x
    x = 148,941,942.18/10,409.04
  6. Step 6: Final answer
    x = 14,308.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.