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Finding the Fourth Proportional to 2,478.64, 3,420.50 and 1,430.68

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Solution

The fourth proportional to 2,478.64, 3,420.50 and 1,430.68 is: 1,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.64 : 3,420.50 = 1,430.68 : x
  2. Step 2: Convert to fraction form
    2,478.64/3,420.50 = 1,430.68/x
  3. Step 3: Cross multiply
    2,478.64x = 3,420.50 × 1,430.68
  4. Step 4: Simplify right side
    2,478.64x = 4,893,633.79
  5. Step 5: Solve for x
    x = 4,893,633.79/2,478.64
  6. Step 6: Final answer
    x = 1,974.32

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1.5x scale

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.