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Finding the Fourth Proportional to 15,856.76, 23,783.09 and 7,542.06

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Solution

The fourth proportional to 15,856.76, 23,783.09 and 7,542.06 is: 11,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.76 : 23,783.09 = 7,542.06 : x
  2. Step 2: Convert to fraction form
    15,856.76/23,783.09 = 7,542.06/x
  3. Step 3: Cross multiply
    15,856.76x = 23,783.09 × 7,542.06
  4. Step 4: Simplify right side
    15,856.76x = 179,373,404.02
  5. Step 5: Solve for x
    x = 179,373,404.02/15,856.76
  6. Step 6: Final answer
    x = 11,312.11

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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.