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Finding the Fourth Proportional to 21,873.60, 32,788.80 and 8,708.40

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Solution

The fourth proportional to 21,873.60, 32,788.80 and 8,708.40 is: 13,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.60 : 32,788.80 = 8,708.40 : x
  2. Step 2: Convert to fraction form
    21,873.60/32,788.80 = 8,708.40/x
  3. Step 3: Cross multiply
    21,873.60x = 32,788.80 × 8,708.40
  4. Step 4: Simplify right side
    21,873.60x = 285,537,985.92
  5. Step 5: Solve for x
    x = 285,537,985.92/21,873.60
  6. Step 6: Final answer
    x = 13,054.00

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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.