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Finding the Fourth Proportional to 10,054.90, 13,892.45 and 7,946.58

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Solution

The fourth proportional to 10,054.90, 13,892.45 and 7,946.58 is: 10,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.90 : 13,892.45 = 7,946.58 : x
  2. Step 2: Convert to fraction form
    10,054.90/13,892.45 = 7,946.58/x
  3. Step 3: Cross multiply
    10,054.90x = 13,892.45 × 7,946.58
  4. Step 4: Simplify right side
    10,054.90x = 110,397,465.32
  5. Step 5: Solve for x
    x = 110,397,465.32/10,054.90
  6. Step 6: Final answer
    x = 10,979.47

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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.