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Finding the Fourth Proportional to 16,590, 22,895.88 and 9,515.76

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Solution

The fourth proportional to 16,590, 22,895.88 and 9,515.76 is: 13,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590 : 22,895.88 = 9,515.76 : x
  2. Step 2: Convert to fraction form
    16,590/22,895.88 = 9,515.76/x
  3. Step 3: Cross multiply
    16,590x = 22,895.88 × 9,515.76
  4. Step 4: Simplify right side
    16,590x = 217,871,699.07
  5. Step 5: Solve for x
    x = 217,871,699.07/16,590
  6. Step 6: Final answer
    x = 13,132.71

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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.