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Finding the Fourth Proportional to 2,386.84, 3,580.02 and 632.02

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Solution

The fourth proportional to 2,386.84, 3,580.02 and 632.02 is: 947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.84 : 3,580.02 = 632.02 : x
  2. Step 2: Convert to fraction form
    2,386.84/3,580.02 = 632.02/x
  3. Step 3: Cross multiply
    2,386.84x = 3,580.02 × 632.02
  4. Step 4: Simplify right side
    2,386.84x = 2,262,644.24
  5. Step 5: Solve for x
    x = 2,262,644.24/2,386.84
  6. Step 6: Final answer
    x = 947.97

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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.