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Finding the Fourth Proportional to 14,123.93, 19,488.93 and 8,457.35

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Solution

The fourth proportional to 14,123.93, 19,488.93 and 8,457.35 is: 11,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.93 : 19,488.93 = 8,457.35 : x
  2. Step 2: Convert to fraction form
    14,123.93/19,488.93 = 8,457.35/x
  3. Step 3: Cross multiply
    14,123.93x = 19,488.93 × 8,457.35
  4. Step 4: Simplify right side
    14,123.93x = 164,824,702.14
  5. Step 5: Solve for x
    x = 164,824,702.14/14,123.93
  6. Step 6: Final answer
    x = 11,669.89

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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.