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Finding the Fourth Proportional to 2,478.63, 3,420.18 and 1,430.49

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Solution

The fourth proportional to 2,478.63, 3,420.18 and 1,430.49 is: 1,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.63 : 3,420.18 = 1,430.49 : x
  2. Step 2: Convert to fraction form
    2,478.63/3,420.18 = 1,430.49/x
  3. Step 3: Cross multiply
    2,478.63x = 3,420.18 × 1,430.49
  4. Step 4: Simplify right side
    2,478.63x = 4,892,533.29
  5. Step 5: Solve for x
    x = 4,892,533.29/2,478.63
  6. Step 6: Final answer
    x = 1,973.89

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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.