Home / 9,829.86-13,565-5,353.74

Finding the Fourth Proportional to 9,829.86, 13,565 and 5,353.74

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Solution

The fourth proportional to 9,829.86, 13,565 and 5,353.74 is: 7,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.86 : 13,565 = 5,353.74 : x
  2. Step 2: Convert to fraction form
    9,829.86/13,565 = 5,353.74/x
  3. Step 3: Cross multiply
    9,829.86x = 13,565 × 5,353.74
  4. Step 4: Simplify right side
    9,829.86x = 72,623,483.10
  5. Step 5: Solve for x
    x = 72,623,483.10/9,829.86
  6. Step 6: Final answer
    x = 7,388.05

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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.