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Finding the Fourth Proportional to 2,386.60, 3,580.13 and 631.60

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Solution

The fourth proportional to 2,386.60, 3,580.13 and 631.60 is: 947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.60 : 3,580.13 = 631.60 : x
  2. Step 2: Convert to fraction form
    2,386.60/3,580.13 = 631.60/x
  3. Step 3: Cross multiply
    2,386.60x = 3,580.13 × 631.60
  4. Step 4: Simplify right side
    2,386.60x = 2,261,202.74
  5. Step 5: Solve for x
    x = 2,261,202.74/2,386.60
  6. Step 6: Final answer
    x = 947.46

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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.