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Finding the Fourth Proportional to 15,507.86, 21,408.10 and 9,922.10

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Solution

The fourth proportional to 15,507.86, 21,408.10 and 9,922.10 is: 13,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.86 : 21,408.10 = 9,922.10 : x
  2. Step 2: Convert to fraction form
    15,507.86/21,408.10 = 9,922.10/x
  3. Step 3: Cross multiply
    15,507.86x = 21,408.10 × 9,922.10
  4. Step 4: Simplify right side
    15,507.86x = 212,413,177.16
  5. Step 5: Solve for x
    x = 212,413,177.16/15,507.86
  6. Step 6: Final answer
    x = 13,697.13

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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.