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Finding the Fourth Proportional to 42,484.50, 63,756 and 14,782.50

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Solution

The fourth proportional to 42,484.50, 63,756 and 14,782.50 is: 22,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,484.50 : 63,756 = 14,782.50 : x
  2. Step 2: Convert to fraction form
    42,484.50/63,756 = 14,782.50/x
  3. Step 3: Cross multiply
    42,484.50x = 63,756 × 14,782.50
  4. Step 4: Simplify right side
    42,484.50x = 942,473,070
  5. Step 5: Solve for x
    x = 942,473,070/42,484.50
  6. Step 6: Final answer
    x = 22,183.93

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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.