Home / 1,762.12-2,430.66-1,164.63

Finding the Fourth Proportional to 1,762.12, 2,430.66 and 1,164.63

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Solution

The fourth proportional to 1,762.12, 2,430.66 and 1,164.63 is: 1,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.12 : 2,430.66 = 1,164.63 : x
  2. Step 2: Convert to fraction form
    1,762.12/2,430.66 = 1,164.63/x
  3. Step 3: Cross multiply
    1,762.12x = 2,430.66 × 1,164.63
  4. Step 4: Simplify right side
    1,762.12x = 2,830,812.81
  5. Step 5: Solve for x
    x = 2,830,812.81/1,762.12
  6. Step 6: Final answer
    x = 1,606.48

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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.