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Finding the Fourth Proportional to 28,561.50, 42,842.25 and 7,785

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Solution

The fourth proportional to 28,561.50, 42,842.25 and 7,785 is: 11,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,561.50 : 42,842.25 = 7,785 : x
  2. Step 2: Convert to fraction form
    28,561.50/42,842.25 = 7,785/x
  3. Step 3: Cross multiply
    28,561.50x = 42,842.25 × 7,785
  4. Step 4: Simplify right side
    28,561.50x = 333,526,916.25
  5. Step 5: Solve for x
    x = 333,526,916.25/28,561.50
  6. Step 6: Final answer
    x = 11,677.50

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1.5x scale

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.