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Finding the Fourth Proportional to 10,430.84, 14,400.78 and 9,264.44

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Solution

The fourth proportional to 10,430.84, 14,400.78 and 9,264.44 is: 12,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.84 : 14,400.78 = 9,264.44 : x
  2. Step 2: Convert to fraction form
    10,430.84/14,400.78 = 9,264.44/x
  3. Step 3: Cross multiply
    10,430.84x = 14,400.78 × 9,264.44
  4. Step 4: Simplify right side
    10,430.84x = 133,415,162.26
  5. Step 5: Solve for x
    x = 133,415,162.26/10,430.84
  6. Step 6: Final answer
    x = 12,790.45

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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.