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Finding the Fourth Proportional to 1,543.98, 2,315.36 and 895.17

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Solution

The fourth proportional to 1,543.98, 2,315.36 and 895.17 is: 1,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.98 : 2,315.36 = 895.17 : x
  2. Step 2: Convert to fraction form
    1,543.98/2,315.36 = 895.17/x
  3. Step 3: Cross multiply
    1,543.98x = 2,315.36 × 895.17
  4. Step 4: Simplify right side
    1,543.98x = 2,072,636.34
  5. Step 5: Solve for x
    x = 2,072,636.34/1,543.98
  6. Step 6: Final answer
    x = 1,342.40

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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.