Home / 1,561.50-2,154.30-971.04

Finding the Fourth Proportional to 1,561.50, 2,154.30 and 971.04

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Solution

The fourth proportional to 1,561.50, 2,154.30 and 971.04 is: 1,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.50 : 2,154.30 = 971.04 : x
  2. Step 2: Convert to fraction form
    1,561.50/2,154.30 = 971.04/x
  3. Step 3: Cross multiply
    1,561.50x = 2,154.30 × 971.04
  4. Step 4: Simplify right side
    1,561.50x = 2,091,911.47
  5. Step 5: Solve for x
    x = 2,091,911.47/1,561.50
  6. Step 6: Final answer
    x = 1,339.68

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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.