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Finding the Fourth Proportional to 2,892.76, 4,337.76 and 1,430.20

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Solution

The fourth proportional to 2,892.76, 4,337.76 and 1,430.20 is: 2,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.76 : 4,337.76 = 1,430.20 : x
  2. Step 2: Convert to fraction form
    2,892.76/4,337.76 = 1,430.20/x
  3. Step 3: Cross multiply
    2,892.76x = 4,337.76 × 1,430.20
  4. Step 4: Simplify right side
    2,892.76x = 6,203,853.51
  5. Step 5: Solve for x
    x = 6,203,853.51/2,892.76
  6. Step 6: Final answer
    x = 2,144.62

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1.5x scale

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.