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Finding the Fourth Proportional to 1,802.63, 2,487.62 and 974.63

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Solution

The fourth proportional to 1,802.63, 2,487.62 and 974.63 is: 1,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.63 : 2,487.62 = 974.63 : x
  2. Step 2: Convert to fraction form
    1,802.63/2,487.62 = 974.63/x
  3. Step 3: Cross multiply
    1,802.63x = 2,487.62 × 974.63
  4. Step 4: Simplify right side
    1,802.63x = 2,424,499.08
  5. Step 5: Solve for x
    x = 2,424,499.08/1,802.63
  6. Step 6: Final answer
    x = 1,344.98

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1.5x scale

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.