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Finding the Fourth Proportional to 15,406.80, 23,102.88 and 7,606.50

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Solution

The fourth proportional to 15,406.80, 23,102.88 and 7,606.50 is: 11,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.80 : 23,102.88 = 7,606.50 : x
  2. Step 2: Convert to fraction form
    15,406.80/23,102.88 = 7,606.50/x
  3. Step 3: Cross multiply
    15,406.80x = 23,102.88 × 7,606.50
  4. Step 4: Simplify right side
    15,406.80x = 175,732,056.72
  5. Step 5: Solve for x
    x = 175,732,056.72/15,406.80
  6. Step 6: Final answer
    x = 11,406.14

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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.