Home / 1,564.20-2,156.40-974.34

Finding the Fourth Proportional to 1,564.20, 2,156.40 and 974.34

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Solution

The fourth proportional to 1,564.20, 2,156.40 and 974.34 is: 1,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.20 : 2,156.40 = 974.34 : x
  2. Step 2: Convert to fraction form
    1,564.20/2,156.40 = 974.34/x
  3. Step 3: Cross multiply
    1,564.20x = 2,156.40 × 974.34
  4. Step 4: Simplify right side
    1,564.20x = 2,101,066.78
  5. Step 5: Solve for x
    x = 2,101,066.78/1,564.20
  6. Step 6: Final answer
    x = 1,343.22

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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.