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Finding the Fourth Proportional to 26,985.40, 40,477.49 and 7,264.20

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Solution

The fourth proportional to 26,985.40, 40,477.49 and 7,264.20 is: 10,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,985.40 : 40,477.49 = 7,264.20 : x
  2. Step 2: Convert to fraction form
    26,985.40/40,477.49 = 7,264.20/x
  3. Step 3: Cross multiply
    26,985.40x = 40,477.49 × 7,264.20
  4. Step 4: Simplify right side
    26,985.40x = 294,036,398.63
  5. Step 5: Solve for x
    x = 294,036,398.63/26,985.40
  6. Step 6: Final answer
    x = 10,896.13

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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.