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Finding the Fourth Proportional to 14,577.60, 20,116.80 and 7,953.60

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Solution

The fourth proportional to 14,577.60, 20,116.80 and 7,953.60 is: 10,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.60 : 20,116.80 = 7,953.60 : x
  2. Step 2: Convert to fraction form
    14,577.60/20,116.80 = 7,953.60/x
  3. Step 3: Cross multiply
    14,577.60x = 20,116.80 × 7,953.60
  4. Step 4: Simplify right side
    14,577.60x = 160,000,980.48
  5. Step 5: Solve for x
    x = 160,000,980.48/14,577.60
  6. Step 6: Final answer
    x = 10,975.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.