Home / 1,564.90-2,346.40-1,077.41

Finding the Fourth Proportional to 1,564.90, 2,346.40 and 1,077.41

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Solution

The fourth proportional to 1,564.90, 2,346.40 and 1,077.41 is: 1,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.90 : 2,346.40 = 1,077.41 : x
  2. Step 2: Convert to fraction form
    1,564.90/2,346.40 = 1,077.41/x
  3. Step 3: Cross multiply
    1,564.90x = 2,346.40 × 1,077.41
  4. Step 4: Simplify right side
    1,564.90x = 2,528,034.82
  5. Step 5: Solve for x
    x = 2,528,034.82/1,564.90
  6. Step 6: Final answer
    x = 1,615.46

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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.