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Finding the Fourth Proportional to 10,988, 15,143.28 and 10,152.80

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Solution

The fourth proportional to 10,988, 15,143.28 and 10,152.80 is: 13,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988 : 15,143.28 = 10,152.80 : x
  2. Step 2: Convert to fraction form
    10,988/15,143.28 = 10,152.80/x
  3. Step 3: Cross multiply
    10,988x = 15,143.28 × 10,152.80
  4. Step 4: Simplify right side
    10,988x = 153,746,693.18
  5. Step 5: Solve for x
    x = 153,746,693.18/10,988
  6. Step 6: Final answer
    x = 13,992.24

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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.