Home / 1,430.13-2,145.23-812.30

Finding the Fourth Proportional to 1,430.13, 2,145.23 and 812.30

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Solution

The fourth proportional to 1,430.13, 2,145.23 and 812.30 is: 1,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.13 : 2,145.23 = 812.30 : x
  2. Step 2: Convert to fraction form
    1,430.13/2,145.23 = 812.30/x
  3. Step 3: Cross multiply
    1,430.13x = 2,145.23 × 812.30
  4. Step 4: Simplify right side
    1,430.13x = 1,742,570.33
  5. Step 5: Solve for x
    x = 1,742,570.33/1,430.13
  6. Step 6: Final answer
    x = 1,218.47

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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.