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Finding the Fourth Proportional to 7,686.59, 10,607.71 and 4,702.35

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Solution

The fourth proportional to 7,686.59, 10,607.71 and 4,702.35 is: 6,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.59 : 10,607.71 = 4,702.35 : x
  2. Step 2: Convert to fraction form
    7,686.59/10,607.71 = 4,702.35/x
  3. Step 3: Cross multiply
    7,686.59x = 10,607.71 × 4,702.35
  4. Step 4: Simplify right side
    7,686.59x = 49,881,165.12
  5. Step 5: Solve for x
    x = 49,881,165.12/7,686.59
  6. Step 6: Final answer
    x = 6,489.38

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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.