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Finding the Fourth Proportional to 2,497.71, 3,746.57 and 648.67

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Solution

The fourth proportional to 2,497.71, 3,746.57 and 648.67 is: 973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.71 : 3,746.57 = 648.67 : x
  2. Step 2: Convert to fraction form
    2,497.71/3,746.57 = 648.67/x
  3. Step 3: Cross multiply
    2,497.71x = 3,746.57 × 648.67
  4. Step 4: Simplify right side
    2,497.71x = 2,430,287.56
  5. Step 5: Solve for x
    x = 2,430,287.56/2,497.71
  6. Step 6: Final answer
    x = 973.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.