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Finding the Fourth Proportional to 15,776, 21,772.16 and 9,152

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Solution

The fourth proportional to 15,776, 21,772.16 and 9,152 is: 12,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 21,772.16 = 9,152 : x
  2. Step 2: Convert to fraction form
    15,776/21,772.16 = 9,152/x
  3. Step 3: Cross multiply
    15,776x = 21,772.16 × 9,152
  4. Step 4: Simplify right side
    15,776x = 199,258,808.32
  5. Step 5: Solve for x
    x = 199,258,808.32/15,776
  6. Step 6: Final answer
    x = 12,630.50

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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.