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Finding the Fourth Proportional to 2,407.30, 3,606.63 and 1,543.30

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Solution

The fourth proportional to 2,407.30, 3,606.63 and 1,543.30 is: 2,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.30 : 3,606.63 = 1,543.30 : x
  2. Step 2: Convert to fraction form
    2,407.30/3,606.63 = 1,543.30/x
  3. Step 3: Cross multiply
    2,407.30x = 3,606.63 × 1,543.30
  4. Step 4: Simplify right side
    2,407.30x = 5,566,112.08
  5. Step 5: Solve for x
    x = 5,566,112.08/2,407.30
  6. Step 6: Final answer
    x = 2,312.18

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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.