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Finding the Fourth Proportional to 1,562.93, 2,156.97 and 973.55

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Solution

The fourth proportional to 1,562.93, 2,156.97 and 973.55 is: 1,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.93 : 2,156.97 = 973.55 : x
  2. Step 2: Convert to fraction form
    1,562.93/2,156.97 = 973.55/x
  3. Step 3: Cross multiply
    1,562.93x = 2,156.97 × 973.55
  4. Step 4: Simplify right side
    1,562.93x = 2,099,907.36
  5. Step 5: Solve for x
    x = 2,099,907.36/1,562.93
  6. Step 6: Final answer
    x = 1,343.58

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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.