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Finding the Fourth Proportional to 10,646.88, 14,686.02 and 7,657.98

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Solution

The fourth proportional to 10,646.88, 14,686.02 and 7,657.98 is: 10,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.88 : 14,686.02 = 7,657.98 : x
  2. Step 2: Convert to fraction form
    10,646.88/14,686.02 = 7,657.98/x
  3. Step 3: Cross multiply
    10,646.88x = 14,686.02 × 7,657.98
  4. Step 4: Simplify right side
    10,646.88x = 112,465,247.44
  5. Step 5: Solve for x
    x = 112,465,247.44/10,646.88
  6. Step 6: Final answer
    x = 10,563.21

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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.