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Finding the Fourth Proportional to 47,820, 71,741.52 and 14,988

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Solution

The fourth proportional to 47,820, 71,741.52 and 14,988 is: 22,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820 : 71,741.52 = 14,988 : x
  2. Step 2: Convert to fraction form
    47,820/71,741.52 = 14,988/x
  3. Step 3: Cross multiply
    47,820x = 71,741.52 × 14,988
  4. Step 4: Simplify right side
    47,820x = 1,075,261,901.76
  5. Step 5: Solve for x
    x = 1,075,261,901.76/47,820
  6. Step 6: Final answer
    x = 22,485.61

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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.