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Finding the Fourth Proportional to 14,285.67, 19,710.74 and 8,313.74

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Solution

The fourth proportional to 14,285.67, 19,710.74 and 8,313.74 is: 11,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.67 : 19,710.74 = 8,313.74 : x
  2. Step 2: Convert to fraction form
    14,285.67/19,710.74 = 8,313.74/x
  3. Step 3: Cross multiply
    14,285.67x = 19,710.74 × 8,313.74
  4. Step 4: Simplify right side
    14,285.67x = 163,869,963.71
  5. Step 5: Solve for x
    x = 163,869,963.71/14,285.67
  6. Step 6: Final answer
    x = 11,470.94

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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.