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Finding the Fourth Proportional to 28,364.04, 42,544.98 and 7,587

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Solution

The fourth proportional to 28,364.04, 42,544.98 and 7,587 is: 11,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364.04 : 42,544.98 = 7,587 : x
  2. Step 2: Convert to fraction form
    28,364.04/42,544.98 = 7,587/x
  3. Step 3: Cross multiply
    28,364.04x = 42,544.98 × 7,587
  4. Step 4: Simplify right side
    28,364.04x = 322,788,763.26
  5. Step 5: Solve for x
    x = 322,788,763.26/28,364.04
  6. Step 6: Final answer
    x = 11,380.21

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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.