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Finding the Fourth Proportional to 10,782.90, 14,842.98 and 9,295.74

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Solution

The fourth proportional to 10,782.90, 14,842.98 and 9,295.74 is: 12,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.90 : 14,842.98 = 9,295.74 : x
  2. Step 2: Convert to fraction form
    10,782.90/14,842.98 = 9,295.74/x
  3. Step 3: Cross multiply
    10,782.90x = 14,842.98 × 9,295.74
  4. Step 4: Simplify right side
    10,782.90x = 137,976,482.91
  5. Step 5: Solve for x
    x = 137,976,482.91/10,782.90
  6. Step 6: Final answer
    x = 12,795.86

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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.