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Finding the Fourth Proportional to 10,543.88, 15,823.53 and 7,778.01

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Solution

The fourth proportional to 10,543.88, 15,823.53 and 7,778.01 is: 11,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.88 : 15,823.53 = 7,778.01 : x
  2. Step 2: Convert to fraction form
    10,543.88/15,823.53 = 7,778.01/x
  3. Step 3: Cross multiply
    10,543.88x = 15,823.53 × 7,778.01
  4. Step 4: Simplify right side
    10,543.88x = 123,075,574.58
  5. Step 5: Solve for x
    x = 123,075,574.58/10,543.88
  6. Step 6: Final answer
    x = 11,672.70

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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.