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Finding the Fourth Proportional to 5,155.64, 7,733.20 and 1,457.38

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Solution

The fourth proportional to 5,155.64, 7,733.20 and 1,457.38 is: 2,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.64 : 7,733.20 = 1,457.38 : x
  2. Step 2: Convert to fraction form
    5,155.64/7,733.20 = 1,457.38/x
  3. Step 3: Cross multiply
    5,155.64x = 7,733.20 × 1,457.38
  4. Step 4: Simplify right side
    5,155.64x = 11,270,211.02
  5. Step 5: Solve for x
    x = 11,270,211.02/5,155.64
  6. Step 6: Final answer
    x = 2,186.00

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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.