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Finding the Fourth Proportional to 1,497.31, 2,065.72 and 1,495

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Solution

The fourth proportional to 1,497.31, 2,065.72 and 1,495 is: 2,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.31 : 2,065.72 = 1,495 : x
  2. Step 2: Convert to fraction form
    1,497.31/2,065.72 = 1,495/x
  3. Step 3: Cross multiply
    1,497.31x = 2,065.72 × 1,495
  4. Step 4: Simplify right side
    1,497.31x = 3,088,251.40
  5. Step 5: Solve for x
    x = 3,088,251.40/1,497.31
  6. Step 6: Final answer
    x = 2,062.54

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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.