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Finding the Fourth Proportional to 35,424, 53,136 and 14,648.04

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Solution

The fourth proportional to 35,424, 53,136 and 14,648.04 is: 21,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 53,136 = 14,648.04 : x
  2. Step 2: Convert to fraction form
    35,424/53,136 = 14,648.04/x
  3. Step 3: Cross multiply
    35,424x = 53,136 × 14,648.04
  4. Step 4: Simplify right side
    35,424x = 778,338,253.44
  5. Step 5: Solve for x
    x = 778,338,253.44/35,424
  6. Step 6: Final answer
    x = 21,972.06

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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.