Home / 1,762.24-2,426.54-1,430.09

Finding the Fourth Proportional to 1,762.24, 2,426.54 and 1,430.09

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Solution

The fourth proportional to 1,762.24, 2,426.54 and 1,430.09 is: 1,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.24 : 2,426.54 = 1,430.09 : x
  2. Step 2: Convert to fraction form
    1,762.24/2,426.54 = 1,430.09/x
  3. Step 3: Cross multiply
    1,762.24x = 2,426.54 × 1,430.09
  4. Step 4: Simplify right side
    1,762.24x = 3,470,184.72
  5. Step 5: Solve for x
    x = 3,470,184.72/1,762.24
  6. Step 6: Final answer
    x = 1,969.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.