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Finding the Fourth Proportional to 56,577, 84,865.50 and 19,641

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Solution

The fourth proportional to 56,577, 84,865.50 and 19,641 is: 29,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,577 : 84,865.50 = 19,641 : x
  2. Step 2: Convert to fraction form
    56,577/84,865.50 = 19,641/x
  3. Step 3: Cross multiply
    56,577x = 84,865.50 × 19,641
  4. Step 4: Simplify right side
    56,577x = 1,666,843,285.50
  5. Step 5: Solve for x
    x = 1,666,843,285.50/56,577
  6. Step 6: Final answer
    x = 29,461.50

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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.