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Finding the Fourth Proportional to 15,881.84, 21,915.15 and 9,829.32

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Solution

The fourth proportional to 15,881.84, 21,915.15 and 9,829.32 is: 13,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.84 : 21,915.15 = 9,829.32 : x
  2. Step 2: Convert to fraction form
    15,881.84/21,915.15 = 9,829.32/x
  3. Step 3: Cross multiply
    15,881.84x = 21,915.15 × 9,829.32
  4. Step 4: Simplify right side
    15,881.84x = 215,411,022.20
  5. Step 5: Solve for x
    x = 215,411,022.20/15,881.84
  6. Step 6: Final answer
    x = 13,563.35

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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.