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Finding the Fourth Proportional to 15,703.20, 23,533.36 and 7,917.28

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Solution

The fourth proportional to 15,703.20, 23,533.36 and 7,917.28 is: 11,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.20 : 23,533.36 = 7,917.28 : x
  2. Step 2: Convert to fraction form
    15,703.20/23,533.36 = 7,917.28/x
  3. Step 3: Cross multiply
    15,703.20x = 23,533.36 × 7,917.28
  4. Step 4: Simplify right side
    15,703.20x = 186,320,200.46
  5. Step 5: Solve for x
    x = 186,320,200.46/15,703.20
  6. Step 6: Final answer
    x = 11,865.11

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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.