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Finding the Fourth Proportional to 1,570.97, 2,167.35 and 973.19

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Solution

The fourth proportional to 1,570.97, 2,167.35 and 973.19 is: 1,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.97 : 2,167.35 = 973.19 : x
  2. Step 2: Convert to fraction form
    1,570.97/2,167.35 = 973.19/x
  3. Step 3: Cross multiply
    1,570.97x = 2,167.35 × 973.19
  4. Step 4: Simplify right side
    1,570.97x = 2,109,243.35
  5. Step 5: Solve for x
    x = 2,109,243.35/1,570.97
  6. Step 6: Final answer
    x = 1,342.64

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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.