Home / 2,458.96-3,688.40-1,420

Finding the Fourth Proportional to 2,458.96, 3,688.40 and 1,420

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Solution

The fourth proportional to 2,458.96, 3,688.40 and 1,420 is: 2,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.96 : 3,688.40 = 1,420 : x
  2. Step 2: Convert to fraction form
    2,458.96/3,688.40 = 1,420/x
  3. Step 3: Cross multiply
    2,458.96x = 3,688.40 × 1,420
  4. Step 4: Simplify right side
    2,458.96x = 5,237,528
  5. Step 5: Solve for x
    x = 5,237,528/2,458.96
  6. Step 6: Final answer
    x = 2,129.98

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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.