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Finding the Fourth Proportional to 15,877.58, 21,906.70 and 9,501.58

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Solution

The fourth proportional to 15,877.58, 21,906.70 and 9,501.58 is: 13,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.58 : 21,906.70 = 9,501.58 : x
  2. Step 2: Convert to fraction form
    15,877.58/21,906.70 = 9,501.58/x
  3. Step 3: Cross multiply
    15,877.58x = 21,906.70 × 9,501.58
  4. Step 4: Simplify right side
    15,877.58x = 208,148,262.59
  5. Step 5: Solve for x
    x = 208,148,262.59/15,877.58
  6. Step 6: Final answer
    x = 13,109.57

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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.