Home / 1,564.08-2,157.36-974.40

Finding the Fourth Proportional to 1,564.08, 2,157.36 and 974.40

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Solution

The fourth proportional to 1,564.08, 2,157.36 and 974.40 is: 1,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.08 : 2,157.36 = 974.40 : x
  2. Step 2: Convert to fraction form
    1,564.08/2,157.36 = 974.40/x
  3. Step 3: Cross multiply
    1,564.08x = 2,157.36 × 974.40
  4. Step 4: Simplify right side
    1,564.08x = 2,102,131.58
  5. Step 5: Solve for x
    x = 2,102,131.58/1,564.08
  6. Step 6: Final answer
    x = 1,344.01

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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.