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Finding the Fourth Proportional to 13,021.10, 17,970.23 and 7,356.89

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Solution

The fourth proportional to 13,021.10, 17,970.23 and 7,356.89 is: 10,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.10 : 17,970.23 = 7,356.89 : x
  2. Step 2: Convert to fraction form
    13,021.10/17,970.23 = 7,356.89/x
  3. Step 3: Cross multiply
    13,021.10x = 17,970.23 × 7,356.89
  4. Step 4: Simplify right side
    13,021.10x = 132,205,005.38
  5. Step 5: Solve for x
    x = 132,205,005.38/13,021.10
  6. Step 6: Final answer
    x = 10,153.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.