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Finding the Fourth Proportional to 10,775.26, 14,878.47 and 7,000.30

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Solution

The fourth proportional to 10,775.26, 14,878.47 and 7,000.30 is: 9,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.26 : 14,878.47 = 7,000.30 : x
  2. Step 2: Convert to fraction form
    10,775.26/14,878.47 = 7,000.30/x
  3. Step 3: Cross multiply
    10,775.26x = 14,878.47 × 7,000.30
  4. Step 4: Simplify right side
    10,775.26x = 104,153,753.54
  5. Step 5: Solve for x
    x = 104,153,753.54/10,775.26
  6. Step 6: Final answer
    x = 9,666.01

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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.