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Finding the Fourth Proportional to 1,533.95, 2,116.55 and 974.51

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Solution

The fourth proportional to 1,533.95, 2,116.55 and 974.51 is: 1,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.95 : 2,116.55 = 974.51 : x
  2. Step 2: Convert to fraction form
    1,533.95/2,116.55 = 974.51/x
  3. Step 3: Cross multiply
    1,533.95x = 2,116.55 × 974.51
  4. Step 4: Simplify right side
    1,533.95x = 2,062,588.56
  5. Step 5: Solve for x
    x = 2,062,588.56/1,533.95
  6. Step 6: Final answer
    x = 1,344.63

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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.