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Finding the Fourth Proportional to 14,543.76, 21,821.15 and 9,907.50

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Solution

The fourth proportional to 14,543.76, 21,821.15 and 9,907.50 is: 14,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.76 : 21,821.15 = 9,907.50 : x
  2. Step 2: Convert to fraction form
    14,543.76/21,821.15 = 9,907.50/x
  3. Step 3: Cross multiply
    14,543.76x = 21,821.15 × 9,907.50
  4. Step 4: Simplify right side
    14,543.76x = 216,192,994.09
  5. Step 5: Solve for x
    x = 216,192,994.09/14,543.76
  6. Step 6: Final answer
    x = 14,865.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.