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Finding the Fourth Proportional to 14,430.42, 19,914.93 and 9,123.30

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Solution

The fourth proportional to 14,430.42, 19,914.93 and 9,123.30 is: 12,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.42 : 19,914.93 = 9,123.30 : x
  2. Step 2: Convert to fraction form
    14,430.42/19,914.93 = 9,123.30/x
  3. Step 3: Cross multiply
    14,430.42x = 19,914.93 × 9,123.30
  4. Step 4: Simplify right side
    14,430.42x = 181,689,880.87
  5. Step 5: Solve for x
    x = 181,689,880.87/14,430.42
  6. Step 6: Final answer
    x = 12,590.75

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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.