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Finding the Fourth Proportional to 10,705.73, 14,779.73 and 6,457.55

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Solution

The fourth proportional to 10,705.73, 14,779.73 and 6,457.55 is: 8,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.73 : 14,779.73 = 6,457.55 : x
  2. Step 2: Convert to fraction form
    10,705.73/14,779.73 = 6,457.55/x
  3. Step 3: Cross multiply
    10,705.73x = 14,779.73 × 6,457.55
  4. Step 4: Simplify right side
    10,705.73x = 95,440,787.71
  5. Step 5: Solve for x
    x = 95,440,787.71/10,705.73
  6. Step 6: Final answer
    x = 8,914.93

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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.