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Finding the Fourth Proportional to 7,031.16, 9,702.64 and 3,886.74

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Solution

The fourth proportional to 7,031.16, 9,702.64 and 3,886.74 is: 5,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.16 : 9,702.64 = 3,886.74 : x
  2. Step 2: Convert to fraction form
    7,031.16/9,702.64 = 3,886.74/x
  3. Step 3: Cross multiply
    7,031.16x = 9,702.64 × 3,886.74
  4. Step 4: Simplify right side
    7,031.16x = 37,711,638.99
  5. Step 5: Solve for x
    x = 37,711,638.99/7,031.16
  6. Step 6: Final answer
    x = 5,363.50

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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.