Home / 1,564.47-2,343.87-948.33

Finding the Fourth Proportional to 1,564.47, 2,343.87 and 948.33

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Solution

The fourth proportional to 1,564.47, 2,343.87 and 948.33 is: 1,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.47 : 2,343.87 = 948.33 : x
  2. Step 2: Convert to fraction form
    1,564.47/2,343.87 = 948.33/x
  3. Step 3: Cross multiply
    1,564.47x = 2,343.87 × 948.33
  4. Step 4: Simplify right side
    1,564.47x = 2,222,762.24
  5. Step 5: Solve for x
    x = 2,222,762.24/1,564.47
  6. Step 6: Final answer
    x = 1,420.78

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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.