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Finding the Fourth Proportional to 7,686.38, 10,602.06 and 6,210.20

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Solution

The fourth proportional to 7,686.38, 10,602.06 and 6,210.20 is: 8,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.38 : 10,602.06 = 6,210.20 : x
  2. Step 2: Convert to fraction form
    7,686.38/10,602.06 = 6,210.20/x
  3. Step 3: Cross multiply
    7,686.38x = 10,602.06 × 6,210.20
  4. Step 4: Simplify right side
    7,686.38x = 65,840,913.01
  5. Step 5: Solve for x
    x = 65,840,913.01/7,686.38
  6. Step 6: Final answer
    x = 8,565.92

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Half scale
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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.