Home / 1,420.24-2,130.72-900.40

Finding the Fourth Proportional to 1,420.24, 2,130.72 and 900.40

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Solution

The fourth proportional to 1,420.24, 2,130.72 and 900.40 is: 1,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.24 : 2,130.72 = 900.40 : x
  2. Step 2: Convert to fraction form
    1,420.24/2,130.72 = 900.40/x
  3. Step 3: Cross multiply
    1,420.24x = 2,130.72 × 900.40
  4. Step 4: Simplify right side
    1,420.24x = 1,918,500.29
  5. Step 5: Solve for x
    x = 1,918,500.29/1,420.24
  6. Step 6: Final answer
    x = 1,350.83

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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.