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Finding the Fourth Proportional to 38,433.50, 53,038.23 and 21,666.50

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Solution

The fourth proportional to 38,433.50, 53,038.23 and 21,666.50 is: 29,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.50 : 53,038.23 = 21,666.50 : x
  2. Step 2: Convert to fraction form
    38,433.50/53,038.23 = 21,666.50/x
  3. Step 3: Cross multiply
    38,433.50x = 53,038.23 × 21,666.50
  4. Step 4: Simplify right side
    38,433.50x = 1,149,152,810.30
  5. Step 5: Solve for x
    x = 1,149,152,810.30/38,433.50
  6. Step 6: Final answer
    x = 29,899.77

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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.