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Finding the Fourth Proportional to 26,566.91, 39,875.00 and 13,428.50

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Solution

The fourth proportional to 26,566.91, 39,875.00 and 13,428.50 is: 20,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,566.91 : 39,875.00 = 13,428.50 : x
  2. Step 2: Convert to fraction form
    26,566.91/39,875.00 = 13,428.50/x
  3. Step 3: Cross multiply
    26,566.91x = 39,875.00 × 13,428.50
  4. Step 4: Simplify right side
    26,566.91x = 535,461,470.04
  5. Step 5: Solve for x
    x = 535,461,470.04/26,566.91
  6. Step 6: Final answer
    x = 20,155.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.