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Finding the Fourth Proportional to 5,655, 7,804.80 and 4,457.28

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Solution

The fourth proportional to 5,655, 7,804.80 and 4,457.28 is: 6,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655 : 7,804.80 = 4,457.28 : x
  2. Step 2: Convert to fraction form
    5,655/7,804.80 = 4,457.28/x
  3. Step 3: Cross multiply
    5,655x = 7,804.80 × 4,457.28
  4. Step 4: Simplify right side
    5,655x = 34,788,178.94
  5. Step 5: Solve for x
    x = 34,788,178.94/5,655
  6. Step 6: Final answer
    x = 6,151.76

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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.