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Finding the Fourth Proportional to 15,703.20, 23,542.80 and 7,917.60

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Solution

The fourth proportional to 15,703.20, 23,542.80 and 7,917.60 is: 11,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.20 : 23,542.80 = 7,917.60 : x
  2. Step 2: Convert to fraction form
    15,703.20/23,542.80 = 7,917.60/x
  3. Step 3: Cross multiply
    15,703.20x = 23,542.80 × 7,917.60
  4. Step 4: Simplify right side
    15,703.20x = 186,402,473.28
  5. Step 5: Solve for x
    x = 186,402,473.28/15,703.20
  6. Step 6: Final answer
    x = 11,870.35

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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.