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Finding the Fourth Proportional to 28,365.24, 42,547.08 and 8,643

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Solution

The fourth proportional to 28,365.24, 42,547.08 and 8,643 is: 12,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,365.24 : 42,547.08 = 8,643 : x
  2. Step 2: Convert to fraction form
    28,365.24/42,547.08 = 8,643/x
  3. Step 3: Cross multiply
    28,365.24x = 42,547.08 × 8,643
  4. Step 4: Simplify right side
    28,365.24x = 367,734,412.44
  5. Step 5: Solve for x
    x = 367,734,412.44/28,365.24
  6. Step 6: Final answer
    x = 12,964.26

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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.