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Finding the Fourth Proportional to 4,710.09, 7,064.10 and 1,422.30

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Solution

The fourth proportional to 4,710.09, 7,064.10 and 1,422.30 is: 2,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.09 : 7,064.10 = 1,422.30 : x
  2. Step 2: Convert to fraction form
    4,710.09/7,064.10 = 1,422.30/x
  3. Step 3: Cross multiply
    4,710.09x = 7,064.10 × 1,422.30
  4. Step 4: Simplify right side
    4,710.09x = 10,047,269.43
  5. Step 5: Solve for x
    x = 10,047,269.43/4,710.09
  6. Step 6: Final answer
    x = 2,133.14

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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.