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Finding the Fourth Proportional to 28,437, 42,655.50 and 9,969

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Solution

The fourth proportional to 28,437, 42,655.50 and 9,969 is: 14,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,437 : 42,655.50 = 9,969 : x
  2. Step 2: Convert to fraction form
    28,437/42,655.50 = 9,969/x
  3. Step 3: Cross multiply
    28,437x = 42,655.50 × 9,969
  4. Step 4: Simplify right side
    28,437x = 425,232,679.50
  5. Step 5: Solve for x
    x = 425,232,679.50/28,437
  6. Step 6: Final answer
    x = 14,953.50

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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.