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Finding the Fourth Proportional to 1,762.45, 2,643.51 and 530.13

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Solution

The fourth proportional to 1,762.45, 2,643.51 and 530.13 is: 795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.45 : 2,643.51 = 530.13 : x
  2. Step 2: Convert to fraction form
    1,762.45/2,643.51 = 530.13/x
  3. Step 3: Cross multiply
    1,762.45x = 2,643.51 × 530.13
  4. Step 4: Simplify right side
    1,762.45x = 1,401,403.96
  5. Step 5: Solve for x
    x = 1,401,403.96/1,762.45
  6. Step 6: Final answer
    x = 795.15

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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.