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Finding the Fourth Proportional to 1,528.47, 2,106.81 and 1,215

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Solution

The fourth proportional to 1,528.47, 2,106.81 and 1,215 is: 1,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.47 : 2,106.81 = 1,215 : x
  2. Step 2: Convert to fraction form
    1,528.47/2,106.81 = 1,215/x
  3. Step 3: Cross multiply
    1,528.47x = 2,106.81 × 1,215
  4. Step 4: Simplify right side
    1,528.47x = 2,559,774.15
  5. Step 5: Solve for x
    x = 2,559,774.15/1,528.47
  6. Step 6: Final answer
    x = 1,674.73

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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.