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Finding the Fourth Proportional to 7,062.79, 9,746.93 and 3,876.20

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Solution

The fourth proportional to 7,062.79, 9,746.93 and 3,876.20 is: 5,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.79 : 9,746.93 = 3,876.20 : x
  2. Step 2: Convert to fraction form
    7,062.79/9,746.93 = 3,876.20/x
  3. Step 3: Cross multiply
    7,062.79x = 9,746.93 × 3,876.20
  4. Step 4: Simplify right side
    7,062.79x = 37,780,981.95
  5. Step 5: Solve for x
    x = 37,780,981.95/7,062.79
  6. Step 6: Final answer
    x = 5,349.30

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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.