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Finding the Fourth Proportional to 10,878.66, 15,019.65 and 7,154.82

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Solution

The fourth proportional to 10,878.66, 15,019.65 and 7,154.82 is: 9,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.66 : 15,019.65 = 7,154.82 : x
  2. Step 2: Convert to fraction form
    10,878.66/15,019.65 = 7,154.82/x
  3. Step 3: Cross multiply
    10,878.66x = 15,019.65 × 7,154.82
  4. Step 4: Simplify right side
    10,878.66x = 107,462,892.21
  5. Step 5: Solve for x
    x = 107,462,892.21/10,878.66
  6. Step 6: Final answer
    x = 9,878.32

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1.5x scale

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.