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Finding the Fourth Proportional to 28,880, 39,854.40 and 15,632

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Solution

The fourth proportional to 28,880, 39,854.40 and 15,632 is: 21,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,880 : 39,854.40 = 15,632 : x
  2. Step 2: Convert to fraction form
    28,880/39,854.40 = 15,632/x
  3. Step 3: Cross multiply
    28,880x = 39,854.40 × 15,632
  4. Step 4: Simplify right side
    28,880x = 623,003,980.80
  5. Step 5: Solve for x
    x = 623,003,980.80/28,880
  6. Step 6: Final answer
    x = 21,572.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.