Home / 1,561.85-2,154.69-972.57

Finding the Fourth Proportional to 1,561.85, 2,154.69 and 972.57

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Solution

The fourth proportional to 1,561.85, 2,154.69 and 972.57 is: 1,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.85 : 2,154.69 = 972.57 : x
  2. Step 2: Convert to fraction form
    1,561.85/2,154.69 = 972.57/x
  3. Step 3: Cross multiply
    1,561.85x = 2,154.69 × 972.57
  4. Step 4: Simplify right side
    1,561.85x = 2,095,586.85
  5. Step 5: Solve for x
    x = 2,095,586.85/1,561.85
  6. Step 6: Final answer
    x = 1,341.73

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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.