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Finding the Fourth Proportional to 1,561.76, 2,154.48 and 972.98

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Solution

The fourth proportional to 1,561.76, 2,154.48 and 972.98 is: 1,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.76 : 2,154.48 = 972.98 : x
  2. Step 2: Convert to fraction form
    1,561.76/2,154.48 = 972.98/x
  3. Step 3: Cross multiply
    1,561.76x = 2,154.48 × 972.98
  4. Step 4: Simplify right side
    1,561.76x = 2,096,265.95
  5. Step 5: Solve for x
    x = 2,096,265.95/1,561.76
  6. Step 6: Final answer
    x = 1,342.25

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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.