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Finding the Fourth Proportional to 10,774.60, 14,875.86 and 9,711.88

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Solution

The fourth proportional to 10,774.60, 14,875.86 and 9,711.88 is: 13,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.60 : 14,875.86 = 9,711.88 : x
  2. Step 2: Convert to fraction form
    10,774.60/14,875.86 = 9,711.88/x
  3. Step 3: Cross multiply
    10,774.60x = 14,875.86 × 9,711.88
  4. Step 4: Simplify right side
    10,774.60x = 144,472,567.22
  5. Step 5: Solve for x
    x = 144,472,567.22/10,774.60
  6. Step 6: Final answer
    x = 13,408.62

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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.