Home / 1,564.85-2,158.02-1,167.47

Finding the Fourth Proportional to 1,564.85, 2,158.02 and 1,167.47

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Solution

The fourth proportional to 1,564.85, 2,158.02 and 1,167.47 is: 1,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.85 : 2,158.02 = 1,167.47 : x
  2. Step 2: Convert to fraction form
    1,564.85/2,158.02 = 1,167.47/x
  3. Step 3: Cross multiply
    1,564.85x = 2,158.02 × 1,167.47
  4. Step 4: Simplify right side
    1,564.85x = 2,519,406.98
  5. Step 5: Solve for x
    x = 2,519,406.98/1,564.85
  6. Step 6: Final answer
    x = 1,610.00

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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.