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Finding the Fourth Proportional to 10,655.40, 14,700 and 6,347.64

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Solution

The fourth proportional to 10,655.40, 14,700 and 6,347.64 is: 8,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.40 : 14,700 = 6,347.64 : x
  2. Step 2: Convert to fraction form
    10,655.40/14,700 = 6,347.64/x
  3. Step 3: Cross multiply
    10,655.40x = 14,700 × 6,347.64
  4. Step 4: Simplify right side
    10,655.40x = 93,310,308
  5. Step 5: Solve for x
    x = 93,310,308/10,655.40
  6. Step 6: Final answer
    x = 8,757.09

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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.