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Finding the Fourth Proportional to 3,495.47, 5,243.20 and 898.40

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Solution

The fourth proportional to 3,495.47, 5,243.20 and 898.40 is: 1,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.47 : 5,243.20 = 898.40 : x
  2. Step 2: Convert to fraction form
    3,495.47/5,243.20 = 898.40/x
  3. Step 3: Cross multiply
    3,495.47x = 5,243.20 × 898.40
  4. Step 4: Simplify right side
    3,495.47x = 4,710,501.74
  5. Step 5: Solve for x
    x = 4,710,501.74/3,495.47
  6. Step 6: Final answer
    x = 1,347.60

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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.