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Finding the Fourth Proportional to 1,547.50, 2,135.56 and 926.50

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Solution

The fourth proportional to 1,547.50, 2,135.56 and 926.50 is: 1,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.50 : 2,135.56 = 926.50 : x
  2. Step 2: Convert to fraction form
    1,547.50/2,135.56 = 926.50/x
  3. Step 3: Cross multiply
    1,547.50x = 2,135.56 × 926.50
  4. Step 4: Simplify right side
    1,547.50x = 1,978,596.34
  5. Step 5: Solve for x
    x = 1,978,596.34/1,547.50
  6. Step 6: Final answer
    x = 1,278.58

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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.