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Finding the Fourth Proportional to 42,994.98, 64,485.28 and 11,407

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Solution

The fourth proportional to 42,994.98, 64,485.28 and 11,407 is: 17,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994.98 : 64,485.28 = 11,407 : x
  2. Step 2: Convert to fraction form
    42,994.98/64,485.28 = 11,407/x
  3. Step 3: Cross multiply
    42,994.98x = 64,485.28 × 11,407
  4. Step 4: Simplify right side
    42,994.98x = 735,583,588.96
  5. Step 5: Solve for x
    x = 735,583,588.96/42,994.98
  6. Step 6: Final answer
    x = 17,108.59

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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.