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Finding the Fourth Proportional to 7,749, 10,693.86 and 4,437

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Solution

The fourth proportional to 7,749, 10,693.86 and 4,437 is: 6,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 10,693.86 = 4,437 : x
  2. Step 2: Convert to fraction form
    7,749/10,693.86 = 4,437/x
  3. Step 3: Cross multiply
    7,749x = 10,693.86 × 4,437
  4. Step 4: Simplify right side
    7,749x = 47,448,656.82
  5. Step 5: Solve for x
    x = 47,448,656.82/7,749
  6. Step 6: Final answer
    x = 6,123.20

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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.