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Finding the Fourth Proportional to 10,585.10, 15,877.65 and 9,783.20

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Solution

The fourth proportional to 10,585.10, 15,877.65 and 9,783.20 is: 14,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.10 : 15,877.65 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    10,585.10/15,877.65 = 9,783.20/x
  3. Step 3: Cross multiply
    10,585.10x = 15,877.65 × 9,783.20
  4. Step 4: Simplify right side
    10,585.10x = 155,334,225.48
  5. Step 5: Solve for x
    x = 155,334,225.48/10,585.10
  6. Step 6: Final answer
    x = 14,674.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.