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Finding the Fourth Proportional to 2,457.95, 3,688.13 and 1,415.48

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Solution

The fourth proportional to 2,457.95, 3,688.13 and 1,415.48 is: 2,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.95 : 3,688.13 = 1,415.48 : x
  2. Step 2: Convert to fraction form
    2,457.95/3,688.13 = 1,415.48/x
  3. Step 3: Cross multiply
    2,457.95x = 3,688.13 × 1,415.48
  4. Step 4: Simplify right side
    2,457.95x = 5,220,459.35
  5. Step 5: Solve for x
    x = 5,220,459.35/2,457.95
  6. Step 6: Final answer
    x = 2,123.91

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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.