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Finding the Fourth Proportional to 9,807.70, 14,711.55 and 7,312.90

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Solution

The fourth proportional to 9,807.70, 14,711.55 and 7,312.90 is: 10,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.70 : 14,711.55 = 7,312.90 : x
  2. Step 2: Convert to fraction form
    9,807.70/14,711.55 = 7,312.90/x
  3. Step 3: Cross multiply
    9,807.70x = 14,711.55 × 7,312.90
  4. Step 4: Simplify right side
    9,807.70x = 107,584,094.00
  5. Step 5: Solve for x
    x = 107,584,094.00/9,807.70
  6. Step 6: Final answer
    x = 10,969.35

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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.