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Finding the Fourth Proportional to 11,354.84, 15,669.40 and 6,881.20

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Solution

The fourth proportional to 11,354.84, 15,669.40 and 6,881.20 is: 9,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.84 : 15,669.40 = 6,881.20 : x
  2. Step 2: Convert to fraction form
    11,354.84/15,669.40 = 6,881.20/x
  3. Step 3: Cross multiply
    11,354.84x = 15,669.40 × 6,881.20
  4. Step 4: Simplify right side
    11,354.84x = 107,824,275.28
  5. Step 5: Solve for x
    x = 107,824,275.28/11,354.84
  6. Step 6: Final answer
    x = 9,495.89

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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.