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Finding the Fourth Proportional to 4,892.91, 7,340.49 and 1,430.16

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Solution

The fourth proportional to 4,892.91, 7,340.49 and 1,430.16 is: 2,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.91 : 7,340.49 = 1,430.16 : x
  2. Step 2: Convert to fraction form
    4,892.91/7,340.49 = 1,430.16/x
  3. Step 3: Cross multiply
    4,892.91x = 7,340.49 × 1,430.16
  4. Step 4: Simplify right side
    4,892.91x = 10,498,075.18
  5. Step 5: Solve for x
    x = 10,498,075.18/4,892.91
  6. Step 6: Final answer
    x = 2,145.57

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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.