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Finding the Fourth Proportional to 7,457.60, 11,186.40 and 4,534.40

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Solution

The fourth proportional to 7,457.60, 11,186.40 and 4,534.40 is: 6,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.60 : 11,186.40 = 4,534.40 : x
  2. Step 2: Convert to fraction form
    7,457.60/11,186.40 = 4,534.40/x
  3. Step 3: Cross multiply
    7,457.60x = 11,186.40 × 4,534.40
  4. Step 4: Simplify right side
    7,457.60x = 50,723,612.16
  5. Step 5: Solve for x
    x = 50,723,612.16/7,457.60
  6. Step 6: Final answer
    x = 6,801.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.